{"id":1725,"date":"2026-03-23T09:57:57","date_gmt":"2026-03-23T15:57:57","guid":{"rendered":"https:\/\/portal.pronea.gt\/?p=1725"},"modified":"2026-03-23T09:57:57","modified_gmt":"2026-03-23T15:57:57","slug":"ecuaciones-de-segundo-grado-como-resolverlas-paso-a-paso","status":"publish","type":"post","link":"https:\/\/portal.pronea.gt\/?p=1725","title":{"rendered":"Ecuaciones de segundo grado: c\u00f3mo resolverlas paso a paso"},"content":{"rendered":"<h1>Ecuaciones de segundo grado<\/h1>\n<p style=\"font-weight: 400;\">Las\u00a0<strong>ecuaciones de segundo grado<\/strong>\u00a0son una parte fundamental del\u00a0<strong>\u00e1lgebra<\/strong>, ya que permiten resolver problemas donde la inc\u00f3gnita est\u00e1 elevada al cuadrado.<\/p>\n<h2>\u00bfQu\u00e9 es una ecuaci\u00f3n de segundo grado?<\/h2>\n<p style=\"font-weight: 400;\">Una\u00a0<strong>ecuaci\u00f3n de segundo grado<\/strong>\u00a0tiene la forma:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-1727\" src=\"https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1-1024x326.png\" alt=\"Gr\u00e1fica de una ecuaci\u00f3n cuadr\u00e1tica\" width=\"1024\" height=\"326\" srcset=\"https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1-1024x326.png 1024w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1-600x191.png 600w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1-768x244.png 768w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1-1536x489.png 1536w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1-580x185.png 580w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1-860x274.png 860w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1-1160x369.png 1160w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segunod-grado-1.png 1596w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p style=\"font-weight: 400;\">Donde:<\/p>\n<ul style=\"font-weight: 400;\">\n<li><strong>a, b y c<\/strong>\u00a0son n\u00fameros reales<\/li>\n<li><strong>x<\/strong>\u00a0es la inc\u00f3gnita<\/li>\n<\/ul>\n<p>En el video informativo aprender\u00e1s\u00a0<b>c\u00f3mo resolver ecuaciones de segundo grado paso a paso de forma sencilla. Mira:<\/b><\/p>\n<p><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/vOGSk4vqCAU?si=LB-0NdHqtNGo2Sr2\" width=\"1120\" height=\"730\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">\ufeff<\/span><\/iframe><\/p>\n<h2>\u00bfC\u00f3mo se resuelven?<\/h2>\n<p style=\"font-weight: 400;\">Existen diferentes m\u00e9todos para resolver\u00a0<strong>ecuaciones de segundo grado paso a paso<\/strong>:<\/p>\n<ol>\n<li style=\"font-weight: 400;\"><strong> Factorizaci\u00f3n: <\/strong>Consiste en expresar la ecuaci\u00f3n como el producto de dos factores.<\/li>\n<li style=\"font-weight: 400;\"><strong><strong>F\u00f3rmula general: <\/strong><\/strong>Permite encontrar las soluciones directamente.<\/li>\n<\/ol>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-1728\" src=\"https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2-1024x313.png\" alt=\"Ejemplo de la f\u00f3rmula general para ecuaciones de segundo grado.\" width=\"1024\" height=\"313\" srcset=\"https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2-1024x313.png 1024w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2-600x184.png 600w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2-768x235.png 768w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2-1536x470.png 1536w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2-580x177.png 580w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2-860x263.png 860w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2-1160x355.png 1160w, https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Ecuaciones-de-segundo-grado-2.png 1562w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>3.<strong> Completaci\u00f3n de cuadrados:<\/strong> M\u00e9todo \u00fatil para transformar la ecuaci\u00f3n en una forma m\u00e1s sencilla.<\/p>\n<h2>Ejemplo b\u00e1sico de ecuaciones cuadr\u00e1ticas<\/h2>\n<p style=\"font-weight: 400; text-align: left;\">Resolver: x\u00b2 + 5x + 6 = 0<\/p>\n<p>Sustituir los valores: a = 1; b = 5; c = 6.<\/p>\n<p>Completamos la f\u00f3rmula general:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1729\" src=\"https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Captura-de-pantalla-2026-03-23-a-las-9.51.30-a.-m.png\" alt=\"\" width=\"297\" height=\"95\" data-wp-editing=\"1\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1730\" src=\"https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Captura-de-pantalla-2026-03-23-a-las-9.51.37-a.-m.png\" alt=\"\" width=\"253\" height=\"157\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1731\" src=\"https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Captura-de-pantalla-2026-03-23-a-las-9.51.43-a.-m.png\" alt=\"\" width=\"136\" height=\"91\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1732\" src=\"https:\/\/portal.pronea.gt\/wp-content\/uploads\/2026\/03\/Captura-de-pantalla-2026-03-23-a-las-9.51.50-a.-m.png\" alt=\"\" width=\"254\" height=\"97\" \/><\/p>\n<p style=\"text-align: center;\"><span style=\"text-align: center;\">Resultado: <\/span>x = -2 y x = -3<\/p>\n<h1>Aprende con PRONEA<\/h1>\n<p style=\"font-weight: 400;\">El\u00a0<strong>Programa Nacional de Educaci\u00f3n Alternativa (PRONEA)<\/strong>\u00a0del Ministerio de Educaci\u00f3n\u00a0brinda oportunidades educativas a j\u00f3venes y adultos que desean\u00a0<strong>finalizar su formaci\u00f3n acad\u00e9mica y mejorar sus oportunidades de desarrollo<\/strong>.<\/p>\n<p style=\"font-weight: 400;\"><strong>Inscr\u00edbete y sigue avanzando hacia nuevas oportunidades a trav\u00e9s de la educaci\u00f3n.<\/strong><\/p>\n<p style=\"font-weight: 400;\">S\u00edguenos en nuestras redes sociales y visita nuestro portal:<br \/>\nFacebook: <a href=\"https:\/\/www.facebook.com\/pronea.edu.gt\">https:\/\/www.facebook.com\/pronea.edu.gt<\/a><br \/>\nYouTube: <a href=\"http:\/\/www.youtube.com\/@pronea.502\">www.youtube.com\/@pronea.502<\/a><br \/>\nTikTok: <a href=\"https:\/\/www.tiktok.com\/@pronea.edu\">https:\/\/www.tiktok.com\/@pronea.edu<\/a><br \/>\nP\u00e1gina web: <a href=\"http:\/\/www.portal.pronea.gt\/\">www.portal.pronea.gt<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ecuaciones de segundo grado Las\u00a0ecuaciones de segundo grado\u00a0son una parte fundamental del\u00a0\u00e1lgebra, ya que permiten resolver problemas donde la inc\u00f3gnita&#8230;<\/p>\n","protected":false},"author":8,"featured_media":1733,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"footnotes":""},"categories":[33,39],"tags":[93,66,77,59,76,60,57],"class_list":["post-1725","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematicas","category-recursos","tag-algebra","tag-ecuaciones","tag-educacion-alternativa","tag-estudiar","tag-guatemala","tag-matematicas","tag-pronea"],"_links":{"self":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/1725","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1725"}],"version-history":[{"count":2,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/1725\/revisions"}],"predecessor-version":[{"id":1734,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/posts\/1725\/revisions\/1734"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=\/wp\/v2\/media\/1733"}],"wp:attachment":[{"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1725"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1725"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/portal.pronea.gt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1725"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}