Deprecated: Creation of dynamic property wpdb::$categories is deprecated in /home/calculadsa/www/wp-includes/wp-db.php on line 760

Deprecated: Creation of dynamic property wpdb::$post2cat is deprecated in /home/calculadsa/www/wp-includes/wp-db.php on line 760

Deprecated: Creation of dynamic property wpdb::$link2cat is deprecated in /home/calculadsa/www/wp-includes/wp-db.php on line 760

Deprecated: Using ${var} in strings is deprecated, use {$var} instead in /home/calculadsa/www/wp-includes/comment-template.php on line 1745

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Return type of Pimple\Container::offsetExists($id) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/vendor-prod/pimple/pimple/src/Pimple/Container.php on line 133

Deprecated: Return type of Pimple\Container::offsetGet($id) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/vendor-prod/pimple/pimple/src/Pimple/Container.php on line 98

Deprecated: Return type of Pimple\Container::offsetSet($id, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/vendor-prod/pimple/pimple/src/Pimple/Container.php on line 79

Deprecated: Return type of Pimple\Container::offsetUnset($id) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/vendor-prod/pimple/pimple/src/Pimple/Container.php on line 143

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::offsetExists($offset) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 60

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::offsetGet($offset) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 66

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::offsetSet($offset, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 72

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::offsetUnset($offset) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 76

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 56

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 578

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 585

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 606

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 613

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 620

Deprecated: Using ${var} in strings is deprecated, use {$var} instead in /home/calculadsa/www/wp-content/plugins/contact-form-7/includes/mail.php on line 221

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Return type of WPGMZA\CustomFeatureFields::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-map-object-fields.php on line 120

Deprecated: Return type of WPGMZA\CustomFeatureFields::jsonSerialize() should either be compatible with JsonSerializable::jsonSerialize(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-map-object-fields.php on line 129

Deprecated: Return type of WPGMZA\CustomFeatureFields::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-map-object-fields.php on line 111

Deprecated: Return type of WPGMZA\CustomFields::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-fields.php on line 121

Deprecated: Return type of WPGMZA\CustomFields::jsonSerialize() should either be compatible with JsonSerializable::jsonSerialize(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-fields.php on line 130

Deprecated: Return type of WPGMZA\CustomFields::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-fields.php on line 136

Deprecated: Using ${var} in strings is deprecated, use {$var} instead in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/modules/core/class-itsec-admin-notices.php on line 141

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property WPGMZA\ProDatabase::$version is deprecated in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/class.pro-database.php on line 12

Deprecated: Creation of dynamic property WPGMZA\ProDatabase::$charset_collate is deprecated in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/class.pro-database.php on line 13

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property WP_Rocket\Engine\Preload\SitemapPreloadSubscriber::$options is deprecated in /home/calculadsa/www/wp-content/plugins/wp-rocket/inc/Engine/Preload/SitemapPreloadSubscriber.php on line 26

Deprecated: Creation of dynamic property WP_Rocket\Engine\Preload\SitemapPreloadSubscriber::$sitemap_preload is deprecated in /home/calculadsa/www/wp-content/plugins/wp-rocket/inc/Engine/Preload/SitemapPreloadSubscriber.php on line 27

Deprecated: Automatic conversion of false to array is deprecated in /home/calculadsa/www/wp-content/plugins/wp-rocket/inc/3rd-party/plugins/seo/yoast-seo.php on line 10

Deprecated: Creation of dynamic property Yoast\WP\SEO\Main::$helpers is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/lib/abstract-main.php on line 65

Deprecated: trim(): Passing null to parameter #1 ($string) of type string is deprecated in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/core.php on line 1092

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property WP_Block_Type::$skip_inner_blocks is deprecated in /home/calculadsa/www/wp-includes/class-wp-block-type.php on line 357

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Constant FILTER_SANITIZE_STRING is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/conditionals/third-party/elementor-edit-conditional.php on line 22

Deprecated: Constant FILTER_SANITIZE_STRING is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/conditionals/third-party/elementor-edit-conditional.php on line 28

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /home/calculadsa/www/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /home/calculadsa/www/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property Yoast\WP\SEO\Surfaces\Classes_Surface::$container is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/surfaces/classes-surface.php on line 20

Deprecated: Creation of dynamic property Yoast\WP\SEO\Main::$classes is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/lib/abstract-main.php on line 65

Deprecated: Creation of dynamic property Yoast\WP\SEO\Context\Meta_Tags_Context::$page_type is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 43

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$robots is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$title is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$source is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64
Calculadora ecuación de segundo grado online → x² + bx + c = 0
Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$meta_description is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$canonical is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$rel_prev is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$rel_next is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_locale is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_type is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_title is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_description is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_url is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Context\Meta_Tags_Context::$wordpress_site_name is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

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Calculadora ecuación de segundo grado

Resumen

Calculadora para resolver ecuaciones de segundo grado online. Aquí encontrarás la fórmula, ejercicios paso a paso, ejemplos y más → x² + bx + c = 0

Resolver ecuación de segundo grado

Calcular ecuaciones de segundo grado online es posible gracias a nuestra calculadora, sólo tienes que introducir el valor de los coeficientes a, b y c para obtener las posibles soluciones a la ecuación. Dependiendo del valor del discriminante (b2-4ac), las raíces de la ecuación de segundo grado pueden ser muy diferentes:

  • Discriminante negativo: la ecuación no tiene soluciones reales.
  • Discriminante igual a cero: la ecuación tiene una solución doble
  • Discriminante mayor que cero: la ecuación tiene dos soluciones reales con números distintos.

Fórmula de ecuación de segundo grado

Ahora que sabemos que una ecuación de segundo grado tiene un aspecto similar a la fórmula que hay justo encima de estas líneas, toca aprender cómo resolverla para sacar los valores de la x.

Para ello, solamente tenemos que plantear y resolver la siguiente fórmula para obtener las soluciones a nuestra función cuadrática:

Fórmula para resolver la ecuación de segundo grado

Recuerda que tendremos como resultado dos soluciones para la incógnita, de ahí que antes de la raíz cuadrada tengamos un símbolo +  y -.

Ecuaciones de segundo grado incompletas

Calculadora de ecuación de segundo grado

Si tienes una ecuación de segundo grado incompleta entonces no podrás aplicar la fórmula anterior porque no conocerás el valor de alguno de los coeficientes. Dependiendo de cada caso, hay que proceder de una forma u otra así que te lo explicamos a continuación:

ax2 = 0

En este caso, x = 0 ya que para cualquier valor de a distinto de cero, es el único número que va a cumplir esa igualdad. Ejemplo:

3x2 = 0 →  x = 0

ax2 + bx = 0

Este ejercicio de ecuación de segundo grado incompleta es muy habitual y se resuelve de forma muy sencilla. Simplemente hay que sacar factor común y tendremos que:

x (ax + b) = 0

A partir de aquí podemos separar la fórmula en dos ecuaciones distintas que nos darán las soluciones de x:

  • x = 0
  • ax + b = 0

Por ejemplo, imagina que tenemos x2 - 5x = 0. Si sacamos factor común tenemos que:

x(x - 5) = 0

Y finalmente:

  • x = 0
  • x - 5 = 0 → x = 5

ax2 + c = 0

El tercer y último caso de ecuación de segundo grado incompleta es fácil de realizar. Simplemente tenemos que despejar el valor de la x, por lo que vamos a pasar todos los términos que podamos a la derecha para dejar la incógnita sola. Esto se puede resumir en los siguientes pasos:

  1. ax2 = -c
  2. x2 = -c/a

Finalmente despejamos el término cuadrático y tendremos que las dos soluciones para la x las obtenemos realizando las dos operaciones siguientes:

Ecuación de segundo grado incompleta

Es probable que esto te sea de gran ayuda para resolver ecuaciones bicuadradas.

Cómo funciona la calculadora de ecuaciones de segundo grado

Nuestra calculadora de ecuaciones de segundo grado online ha sido diseñada para que puedas resolverlas de forma inmediata, ya sea porque quieres ahorrarte los cálculos o porque quieres comprobar que has hecho bien las operaciones.

Su funcionamiento es muy sencillo tal y como has podido comprobar. Como has podido ver a lo largo del post, una ecuación de grado dos tiene este aspecto:

ax2 + bx + c = 0

Recuerda que para que la ecuación sea de segundo grado, el valor de 'a' debe ser distinto de cero.

Por lo tanto, lo único que necesitas para resolver ecuaciones de segundo grado con nuestra calculadora es introducir los valores de a, b y c.  Luego pulsa el botón de calcular y el resultado de la ecuación cuadrática lo obtendrás de forma instantánea.

Resolver ecuaciones de segundo grado en Excel

Ecuaciones de segundo grado en Excel

Si quieres usar Excel para resolver ecuaciones de segundo grado tendrás que seguir las instrucciones que te contamos ahora.

Lo primero de todo es abrir el programa de hojas de cálculo de Microsoft, crear una nueva hoja de cálculo y escribir en las celdas A2, B2 y C2 el valor de los coeficientes 'a', 'b'  'c' de la ecuación cuadrática que quieres resolver.

Ahora vamos a escribir la fórmula que calculará las posibles soluciones de x que satisfacen la ecuación de segundo grado que hemos colocado en Excel. Para ello, escribimos esta fórmula en la celda B5:

=(-B2+RAIZ(B2*B2-4*A2*C2))/(2*A2)

Y esta otra fórmula en la celda B6:

=(-B2-RAIZ(B2*B2-4*A2*C2))/(2*A2)

Cuando lo hayas hecho, la hoja de Excel para resolver ecuaciones de segundo grado te quedará más o menos como la imagen que hemos adjuntado unas líneas más arriba.

Ahora sólo tienes que cambiar los valores de las celdas A2, B2 y C2 para obtener las soluciones de todas las ecuaciones de segundo grado que puedan resolverse usando la fórmula general que hemos visto en el primer punto de la teoría.

Ejemplos de ecuaciones de segundo grado

A continuación hemos recopilado algunos ejemplos de ecuaciones de segundo grado para imprimir y que las resuelvas tranquilamente. Luego puedes comprobar con nuestra calculadora que las soluciones que has obtenido son las correctas y averiguar si te has equivocado en algo.

  • x2 + 4x + -21 = 0
  • 9x2 + -12x + 4 = 0
  • 4x2 + 28x + 49 = 0
  • 4x2 + -20x + 25 = 0
  • x2 + 9x + 20 = 0
  • x2 + x + 3 = 0
  • x2 + -2x + 3 = 0
  • -2x2 + 3x + 2 = 0

Ecuaciones de segundo grado resueltas paso a paso

Por si aún sigues con dudas, a continuación tienes las tres primeras ecuaciones de segundo grado resueltas paso a paso:

Ecuaciones de segundo grado resueltas paso a paso

Si aún así sigues con problemas para resolver ecuaciones cuadráticas, déjanos un comentario y trataremos de ayudarte lo antes posible en todas las dudas que te puedan surgir.


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Calculadora Conversor > Calculadoras matemáticas > Calculadora ecuación de segundo grado

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13 comentarios en «Calculadora ecuación de segundo grado»

    • Hola María,

      Las soluciones de la ecuación cuadrática que nos has puesto son x = 3 y x = -8.

      Espero que te haya servido de ayuda.

    • Hola Milagros,

      La ecuación de segundo grado que nos planteas no tiene soluciones reales ya que su discriminante es negativo. Mira:

      (b2-4ac) = 16 – (-32) = -48

      Tendrías que usar números imaginarios para resolverla.

      Saludos!

    • Hola Gustavo,

      Sólo tienes que hacer la operación de los términos de la izquierda y resolver como una ecuación de segundo grado normal.

      Es decir:
      (x-2)(x+5)=9x+10
      x2 + 5x -2x -10 = 9x + 10

      Ahora agrupamos los términos a la izquierda y ya podemos calcularlo:

      x2 -6x – 20 = 0

      Finalmente te queda que las soluciones de esa ecuación de grado dos son x1 = 8,38 y x2 = -2,38

      Saludos!

Deja un comentario

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