{"id":764,"date":"2024-02-25T17:08:20","date_gmt":"2024-02-25T17:08:20","guid":{"rendered":"https:\/\/edublog.educastur.es\/ricardo\/?p=764"},"modified":"2024-02-26T12:21:16","modified_gmt":"2024-02-26T12:21:16","slug":"ecuaciones","status":"publish","type":"post","link":"https:\/\/edublog.educastur.es\/ricardo\/2024\/02\/25\/ecuaciones\/","title":{"rendered":"Ecuaciones"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-766\" src=\"http:\/\/edublog.educastur.es\/ricardo\/files\/2024\/02\/unnamed-300x272.png\" alt=\"\" width=\"392\" height=\"355\" srcset=\"https:\/\/edublog.educastur.es\/ricardo\/files\/2024\/02\/unnamed-300x272.png 300w, https:\/\/edublog.educastur.es\/ricardo\/files\/2024\/02\/unnamed.png 512w\" sizes=\"auto, (max-width: 392px) 100vw, 392px\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/proxy\/pJitEiva9VY1bdujGMXbPBz3q6gz1eivscmzO5pVq8ZVa58TjfsA5ngyt2J7GWCOqJGf5799NBzak1k0Gv1sdQexoTVpP3KLKx94gGCJbr4EAJvTubH_PkDfmc8r\" alt=\"ecuaciones | Chistemat\" \/><\/p>\n<p>Muy buenas<\/p>\n<ol>\n<li>Vamos a trabajar hoy ecuaciones, pero primero un poco de c\u00e1lculo mental:<\/li>\n<\/ol>\n<p><a href=\"https:\/\/www.cokitos.com\/calculo-mental-rapido\/play\/\" target=\"_blank\" rel=\"noopener\">https:\/\/www.cokitos.com\/calculo-mental-rapido\/play\/<\/a><\/p>\n<p>2. Ahora nos ponemos con estas ecuaciones en la libreta, y las corregimos en Symbolab. Capturamos cada correcci\u00f3n y a word.<\/p>\n<a href=\"https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/ejercicios-de-ecuaciones-variadas.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"bottom\" data-toolbar-fixed=\"off\">ejercicios de ecuaciones variadas<\/a>\n<p>&nbsp;<\/p>\n<p>Aqu\u00ed ten\u00e9is algunos pdfs de utilidad:<\/p>\n<a href=\"https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/ecuaciones-de-grado-mayor-que-dos.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"bottom\" data-toolbar-fixed=\"off\">ecuaciones-de-grado-mayor-que-dos<\/a>\n<p><a href=\"http:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/ecuaciones-bicuadradas.pdf\" target=\"_blank\" rel=\"noopener\">Ecuaciones bicuadradas<\/a><\/p>\n<p>Y para que ve\u00e1is lo horrendo que es el proceso de resolver ecuaciones de 3\u00ba y 4\u00ba grado (casos para los que s\u00ed hay una f\u00f3rmula), os los pongo aqu\u00ed:<\/p>\n<p>a) la de 3\u00ba grado:<\/p>\n<p><img decoding=\"async\" class=\"n3VNCb\" src=\"https:\/\/i2.wp.com\/4.bp.blogspot.com\/_qKbHVkDpfXc\/TA6Xy5W4A8I\/AAAAAAAACgQ\/kWUcCwu_gGw\/s1600\/tercergrado.jpg\" alt=\"La f\u00f3rmula para resolver la ecuaci\u00f3n de tercer grado |\" data-noaft=\"1\" \/><\/p>\n<p>Como veis, necesita de n\u00fameros complejos para poder resolverse (la i que aparece en la soluci\u00f3n 2 y 3)<\/p>\n<p>b) para la de 4\u00ba grado, hay 4 posibles soluciones. Es casi mejor abrirlas una por una en una pesta\u00f1a nueva, aunque son muy parecidas:<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-244\" src=\"http:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_1-1-300x40.gif\" alt=\"\" width=\"1223\" height=\"163\" srcset=\"https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_1-1-300x40.gif 300w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_1-1-1024x137.gif 1024w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_1-1-768x103.gif 768w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_1-1-1536x206.gif 1536w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_1-1-2048x274.gif 2048w\" sizes=\"auto, (max-width: 1223px) 100vw, 1223px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-243\" src=\"http:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_2-1-300x40.gif\" alt=\"\" width=\"1178\" height=\"157\" srcset=\"https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_2-1-300x40.gif 300w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_2-1-1024x137.gif 1024w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_2-1-768x103.gif 768w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_2-1-1536x206.gif 1536w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_2-1-2048x274.gif 2048w\" sizes=\"auto, (max-width: 1178px) 100vw, 1178px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-242\" src=\"http:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_3-1-300x40.gif\" alt=\"\" width=\"1163\" height=\"155\" srcset=\"https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_3-1-300x40.gif 300w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_3-1-1024x137.gif 1024w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_3-1-768x103.gif 768w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_3-1-1536x206.gif 1536w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_3-1-2048x274.gif 2048w\" sizes=\"auto, (max-width: 1163px) 100vw, 1163px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-241\" src=\"http:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_4-1-300x40.gif\" alt=\"\" width=\"1200\" height=\"160\" srcset=\"https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_4-1-300x40.gif 300w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_4-1-1024x137.gif 1024w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_4-1-768x103.gif 768w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_4-1-1536x206.gif 1536w, https:\/\/edublog.educastur.es\/ricardo\/files\/2021\/10\/cuartica_4-1-2048x274.gif 2048w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p>Las cuatro f\u00f3rmulas son iguales salvo por un signo \u201c+ \u00f3 -\u201d al comienzo, y por un par de signos \u201c+ \u00f3 -\u201d al final a la derecha de las im\u00e1genes.\u00a0 N\u00f3tese que la unidad imaginaria \u201c<strong>i<\/strong>\u201d no aparece en ninguna de estas f\u00f3rmulas.<\/p>\n<p>Afortunadamente, se ha demostrado que no existe f\u00f3rmula general para los grados de 5 en adelante.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Muy buenas Vamos a trabajar hoy ecuaciones, pero primero un poco de c\u00e1lculo mental: https:\/\/www.cokitos.com\/calculo-mental-rapido\/play\/ 2. Ahora nos ponemos con estas ecuaciones en la libreta, y las corregimos en Symbolab. Capturamos cada correcci\u00f3n y a word. &nbsp; Aqu\u00ed ten\u00e9is algunos pdfs de utilidad: Ecuaciones bicuadradas Y para que ve\u00e1is lo horrendo que es el proceso&hellip; <a href=\"https:\/\/edublog.educastur.es\/ricardo\/2024\/02\/25\/ecuaciones\/\" class=\"more-link\">Seguir leyendo <span class=\"screen-reader-text\">Ecuaciones<\/span><\/a><\/p>\n","protected":false},"author":49,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-764","post","type-post","status-publish","format-standard","hentry","category-3eso_mat","without-featured-image"],"_links":{"self":[{"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/posts\/764","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/users\/49"}],"replies":[{"embeddable":true,"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/comments?post=764"}],"version-history":[{"count":4,"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/posts\/764\/revisions"}],"predecessor-version":[{"id":769,"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/posts\/764\/revisions\/769"}],"wp:attachment":[{"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/media?parent=764"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/categories?post=764"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/edublog.educastur.es\/ricardo\/wp-json\/wp\/v2\/tags?post=764"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}