{"id":1276,"date":"2024-09-23T14:59:00","date_gmt":"2024-09-23T12:59:00","guid":{"rendered":"https:\/\/solveredu.com\/?p=1276"},"modified":"2026-01-27T23:50:53","modified_gmt":"2026-01-27T22:50:53","slug":"ecuacion-cuadratica","status":"publish","type":"post","link":"https:\/\/solveredu.com\/es\/post\/rownanie-kwadratowe\/","title":{"rendered":"Ecuaci\u00f3n cuadr\u00e1tica"},"content":{"rendered":"<p class=\"wp-block-paragraph\">En esta entrada del blog veremos qu\u00e9 es <strong>ecuaci\u00f3n cuadr\u00e1tica<\/strong>En este art\u00edculo se explica c\u00f3mo calcular una ecuaci\u00f3n cuadr\u00e1tica, qu\u00e9 condiciones deben cumplirse para que tenga soluci\u00f3n y c\u00f3mo calcular el discriminante (delta), que determina el n\u00famero de soluciones. Tambi\u00e9n discutiremos ejemplos de c\u00e1lculos paso a paso que se pueden hacer f\u00e1cilmente con una calculadora de ecuaciones cuadr\u00e1ticas. Aprender\u00e1s sobre ecuaciones con una, dos o ninguna soluci\u00f3n y c\u00f3mo utilizar eficazmente herramientas que te ayuden a resolverlas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"9n26k\">En esta entrada:<\/p>\n\n\n\n<ol id=\"cx3moqi0rmio0o104682\" class=\"wp-block-list\">\n<li><a href=\"#55gdd\">Qu\u00e9 es una ecuaci\u00f3n cuadr\u00e1tica<\/a><\/li>\n\n\n\n<li><a href=\"#2ofsq\">Condici\u00f3n de resolubilidad<\/a><\/li>\n\n\n\n<li><a href=\"#di4o1\">El discriminante (delta) de la ecuaci\u00f3n cuadr\u00e1tica<\/a><\/li>\n\n\n\n<li><a href=\"#a4c8b\">Ejemplos de soluciones de la calculadora<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"55gdd\" class=\"wp-block-heading has-large-font-size\">Ecuaci\u00f3n cuadr\u00e1tica<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"4odb7\">Se llama ecuaci\u00f3n cuadr\u00e1tica (con una inc\u00f3gnita x) a una ecuaci\u00f3n que se puede llevar a la forma :<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"306\" height=\"71\" data-attachment-id=\"1278\" data-permalink=\"https:\/\/solveredu.com\/es\/post\/rownanie-kwadratowe\/rownanie\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?fit=306%2C71&amp;ssl=1\" data-orig-size=\"306,71\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"rownanie\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?fit=300%2C70&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?fit=306%2C71&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?resize=306%2C71&#038;ssl=1\" alt=\"ecuaci\u00f3n cuadr\u00e1tica, SolverEdu\" class=\"wp-image-1278\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?w=306&amp;ssl=1 306w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie.jpg?resize=300%2C71&amp;ssl=1 300w\" sizes=\"auto, (max-width: 306px) 100vw, 306px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"6bovn\">donde a,b,c son n\u00fameros reales fijos y a\u22600.<\/p>\n\n\n\n<h2 id=\"2ofsq\" class=\"wp-block-heading has-medium-font-size\">Condici\u00f3n de resolubilidad<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"41mva\">El n\u00famero de soluciones de una ecuaci\u00f3n cuadr\u00e1tica depende del valor del discriminante (delta) de la siguiente manera:<\/p>\n\n\n\n<ul id=\"c2eriqi0rmio0o104695\" class=\"wp-block-list\">\n<li>\u2206&lt;0 - sin soluci\u00f3n<\/li>\n\n\n\n<li>\u2206=0 - una soluci\u00f3n<\/li>\n\n\n\n<li>\u2206&gt;0 - dos soluciones<\/li>\n<\/ul>\n\n\n\n<h3 id=\"di4o1\" class=\"wp-block-heading\">El discriminante (delta) de la ecuaci\u00f3n cuadr\u00e1tica<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>El discriminante de una ecuaci\u00f3n cuadr\u00e1tica tambi\u00e9n se denomina <strong>delta<\/strong> (\u0394). Ambos nombres pueden utilizarse indistintamente.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"46ibo\">Si una ecuaci\u00f3n cuadr\u00e1tica tiene <strong>dos soluciones<\/strong>los calculamos como sigue. En el primer paso, vamos a calcular el delta de la ecuaci\u00f3n utilizando la f\u00f3rmula:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"168\" height=\"39\" data-attachment-id=\"2968\" data-permalink=\"https:\/\/solveredu.com\/es\/post\/rownanie-kwadratowe\/wzor-delta1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?fit=168%2C39&amp;ssl=1\" data-orig-size=\"168,39\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"wzor delta1\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?fit=168%2C39&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?fit=168%2C39&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?resize=168%2C39&#038;ssl=1\" alt=\"\" class=\"wp-image-2968\" style=\"aspect-ratio:4.926060606060606;width:226px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?w=168&amp;ssl=1 168w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzor-delta1.png?resize=18%2C4&amp;ssl=1 18w\" sizes=\"auto, (max-width: 168px) 100vw, 168px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"afjh8\">A continuaci\u00f3n, calculamos las soluciones de la ecuaci\u00f3n a partir de las f\u00f3rmulas siguientes:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"594\" height=\"81\" data-attachment-id=\"2969\" data-permalink=\"https:\/\/solveredu.com\/es\/post\/rownanie-kwadratowe\/wzory-rozwiazan1\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?fit=594%2C81&amp;ssl=1\" data-orig-size=\"594,81\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"wzory rozwiazan1\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?fit=300%2C41&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?fit=594%2C81&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?resize=594%2C81&#038;ssl=1\" alt=\"\" class=\"wp-image-2969\" style=\"width:431px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?w=594&amp;ssl=1 594w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?resize=300%2C41&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan1.png?resize=18%2C2&amp;ssl=1 18w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/figure>\n\n\n\n<h3 id=\"a4c8b\" class=\"wp-block-heading\">Ejemplos de soluciones de una calculadora de ecuaciones cuadr\u00e1ticas<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"8qpeh\">A continuaci\u00f3n he incluido un ejemplo de resoluci\u00f3n de una ecuaci\u00f3n cuadr\u00e1tica.<\/p>\n\n\n\n<figure style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\" class=\"wp-block-table\"><table class=\"has-theme-2-background-color has-text-color has-background has-link-color has-fixed-layout\" style=\"color:#ffffff\"><tbody><tr><td>Los resultados de las soluciones de ejemplo se obtuvieron utilizando <strong>calculadora gratuita<\/strong> <a href=\"https:\/\/app.solveredu.com\/delta-calc\" target=\"_blank\" rel=\"noreferrer noopener\">Ecuaciones cuadr\u00e1ticas<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"85\" data-attachment-id=\"1284\" data-permalink=\"https:\/\/solveredu.com\/es\/post\/rownanie-kwadratowe\/przyklad-1-rownanie\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?fit=400%2C85&amp;ssl=1\" data-orig-size=\"400,85\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 1 rownanie\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?fit=300%2C64&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?fit=400%2C85&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?resize=400%2C85&#038;ssl=1\" alt=\"Ejemplo de ecuaci\u00f3n cuadr\u00e1tica, SolverEdu, calculadora de ecuaciones cuadr\u00e1ticas\" class=\"wp-image-1284\" style=\"width:379px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?w=400&amp;ssl=1 400w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie.png?resize=300%2C64&amp;ssl=1 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"609\" height=\"313\" data-attachment-id=\"1286\" data-permalink=\"https:\/\/solveredu.com\/es\/post\/rownanie-kwadratowe\/przyklad-1-rownanie_rozwiazaniepng\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?fit=609%2C313&amp;ssl=1\" data-orig-size=\"609,313\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 1 rownanie_rozwiazaniepng\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?fit=300%2C154&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?fit=609%2C313&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?resize=609%2C313&#038;ssl=1\" alt=\"Ejemplo de soluci\u00f3n de una ecuaci\u00f3n cuadr\u00e1tica obtenida con la calculadora de ecuaciones cuadr\u00e1ticas SolverEdu.\" class=\"wp-image-1286\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?w=609&amp;ssl=1 609w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-1-rownanie_rozwiazaniepng.png?resize=300%2C154&amp;ssl=1 300w\" sizes=\"auto, (max-width: 609px) 100vw, 609px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Las soluciones de la ecuaci\u00f3n cuadr\u00e1tica tambi\u00e9n se denominan <strong>las ra\u00edces de la ecuaci\u00f3n cuadr\u00e1tica<\/strong>.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"2gg51\">Si esta ecuaci\u00f3n cuadr\u00e1tica tiene <strong>una soluci\u00f3n<\/strong> (doble)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"168\" height=\"71\" data-attachment-id=\"2970\" data-permalink=\"https:\/\/solveredu.com\/es\/post\/rownanie-kwadratowe\/wzory-rozwiazan2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?fit=168%2C71&amp;ssl=1\" data-orig-size=\"168,71\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"wzory rozwiazan2\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?fit=168%2C71&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?fit=168%2C71&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?resize=168%2C71&#038;ssl=1\" alt=\"\" class=\"wp-image-2970\" style=\"aspect-ratio:2.366215139442231;width:145px;height:auto\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?w=168&amp;ssl=1 168w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/wzory-rozwiazan2.png?resize=18%2C8&amp;ssl=1 18w\" sizes=\"auto, (max-width: 168px) 100vw, 168px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"etgvb\">A continuaci\u00f3n se muestra un ejemplo de resoluci\u00f3n de una ecuaci\u00f3n cuadr\u00e1tica con una soluci\u00f3n doble.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"494\" height=\"429\" data-attachment-id=\"1289\" data-permalink=\"https:\/\/solveredu.com\/es\/post\/rownanie-kwadratowe\/przyklad-2-rownanie\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?fit=494%2C429&amp;ssl=1\" data-orig-size=\"494,429\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"przyklad 2 rownanie\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?fit=300%2C261&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?fit=494%2C429&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?resize=494%2C429&#038;ssl=1\" alt=\"Ejemplo de soluci\u00f3n de una ecuaci\u00f3n cuadr\u00e1tica obtenida con la calculadora de ecuaciones cuadr\u00e1ticas SolverEdu.\" class=\"wp-image-1289\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?w=494&amp;ssl=1 494w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/przyklad-2-rownanie.png?resize=300%2C261&amp;ssl=1 300w\" sizes=\"auto, (max-width: 494px) 100vw, 494px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"eqsfc\">Le invito a utilizar <a href=\"https:\/\/app.solveredu.com\/delta-calc\" rel=\"noreferrer noopener\" target=\"_blank\"><strong>calculadora gratuita de ecuaciones cuadr\u00e1ticas<\/strong><\/a>. Gracias<\/p>","protected":false},"excerpt":{"rendered":"<p>W tym wpisie przyjrzymy si\u0119, czym jest r\u00f3wnanie kwadratowe, jakie warunki musz\u0105 by\u0107 spe\u0142nione, aby mo\u017cna je by\u0142o rozwi\u0105za\u0107, oraz jak oblicza\u0107 wyr\u00f3\u017cnik (delta), kt\u00f3ry decyduje o liczbie rozwi\u0105za\u0144. Om\u00f3wimy r\u00f3wnie\u017c przyk\u0142ady oblicze\u0144 krok po kroku, kt\u00f3re mo\u017cna \u0142atwo wykona\u0107 przy pomocy kalkulatora r\u00f3wna\u0144 kwadratowych. Dowiesz si\u0119, jak wygl\u0105daj\u0105 r\u00f3wnania z jednym, dwoma lub brakiem [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":1290,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"_wpas_customize_per_network":false},"categories":[14817],"tags":[14848,14849],"class_list":["post-1276","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pozostale","tag-delta","tag-rownanie-kwadratowe"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/rownanie-1.jpg?fit=306%2C71&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-kA","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/posts\/1276","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/comments?post=1276"}],"version-history":[{"count":12,"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/posts\/1276\/revisions"}],"predecessor-version":[{"id":3081,"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/posts\/1276\/revisions\/3081"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/media\/1290"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/media?parent=1276"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/categories?post=1276"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/es\/wp-json\/wp\/v2\/tags?post=1276"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}