{"id":749,"date":"2010-10-05T21:12:51","date_gmt":"2010-10-06T02:12:51","guid":{"rendered":"http:\/\/laprofematematica.com\/blog\/?p=749"},"modified":"2016-09-29T20:59:08","modified_gmt":"2016-09-30T01:59:08","slug":"ecuacion-con-valor-absoluto","status":"publish","type":"post","link":"https:\/\/laprofematematica.com\/blog\/ecuacion-con-valor-absoluto\/","title":{"rendered":"Ecuaci\u00f3n con Valor absoluto"},"content":{"rendered":"<p><!--Ads1--><\/p>\n<h1>Ecuacion con Valor Absoluto y su resoluci\u00f3n<\/h1>\n<p><center><iframe src=\"https:\/\/www.youtube.com\/embed\/lr-okJN_RIM\" width=\"640\" height=\"480\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p style=\"text-align: justify;\">Una ecuaci\u00f3n con<strong style=\"font-size: medium;\"> valor absoluto<\/strong> se resuelve planteando dos ecuaciones resultantes de aplicar la definici\u00f3n de valor absoluto, el conjunto soluci\u00f3n ser\u00e1 un conjunto formado por dos elementos que satisfacen a la <strong style=\"font-size: medium;\">ecuaci\u00f3n<\/strong><\/p>\n<h2>\u00bfC\u00f3mo resolver una ecuaci\u00f3n con Valor Absoluto?<\/h2>\n<p style=\"text-align: justify;\">Resolver una <strong>ecuaci\u00f3n<\/strong> es encontrar un valor num\u00e9rico que permita cumplir la igualdad. Cuando esta definici\u00f3n se suma con la definici\u00f3n de <strong>valor absoluto<\/strong>, se tendr\u00e1n entonces dos valores que cumplan con ambas definiciones: Valor Absoluto: siempre valor positivo; ecuaci\u00f3n: cumplir con la igualdad.<\/p>\n<p>Los Objetivos de este art\u00edculo:<\/p>\n<p>1) Mostrar como resolver una <a href=\"http:\/\/laprofematematica.com\/blog\/ecuacion-lineal-con-valor-absoluto-y-raiz-cuadrada\/\" target=\"_blank\">ecuaci\u00f3n<\/a> sencilla con valor absoluto<\/p>\n<p>2) Como representar la soluci\u00f3n, dos formas. Una anal\u00edtica y otra en forma de conjunto.<\/p>\n<p>Observa ahora la siguiente imagen, estudia el procedimiento.<\/p>\n<p><!--Ads2--><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/laprofematematica.com\/blog\/ecuacion-con-valor-absoluto\/chyntia1\/\" rel=\"attachment wp-att-748\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-748\" style=\"border: 0px;\" title=\"ecuacion con valor absoluto\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/10\/chyntia1.jpg\" alt=\"ecuacion con valor absoluto\" width=\"480\" height=\"360\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/10\/chyntia1.jpg 960w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/10\/chyntia1-300x225.jpg 300w\" sizes=\"(max-width: 480px) 100vw, 480px\" \/><\/a><\/p>\n<h3 style=\"text-align: justify;\"><span style=\"color: #ff0000;\"><strong>Qu\u00e9 se obtiene como soluci\u00f3n?<\/strong><\/span><\/h3>\n<p style=\"text-align: justify;\">Cuando se resuelve una ecuaci\u00f3n con valor absoluto, la soluci\u00f3n es un conjunto con dos elementos, ambos satisfacen a la ecuaci\u00f3n inicial, es decir, la que se encuentra dentro del m\u00f3dulo.<\/p>\n<h3 style=\"text-align: justify;\"><strong><span style=\"color: #ff0000;\">Donde se estudia el Valor Abosluto?<\/span><\/strong><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: medium;\">La definici\u00f3n de valor absoluto genera dos opciones con dos condiciones a cumplir. Hay que recordar que la expresi\u00f3n que est\u00e1 dentro del valor absoluto ser\u00e1 siempre positiva, por la misma definici\u00f3n de estar dentro del m\u00f3dulo (que tambi\u00e9n se llama valor absoluto).<\/span><\/p>\n<p style=\"text-align: justify;\">En Bachillerato se estudia este tema\u00a0en todos los a\u00f1os, en primer a\u00f1o se trabaja con valores negativos y se compara con otros valores. En segundo a\u00f1o se trabaja muy poco, porque en este curso se estudia polinomio, factorizaci\u00f3n, funciones sin llegar a estudiarla como funci\u00f3n.<\/p>\n<p style=\"text-align: justify;\">En cambio, en tercer a\u00f1o si se estudia a profundidad, es m\u00e1s se combina con ecuaciones y con las inecuaciones. Siendo estas las que m\u00e1s ofrecen la aplicaci\u00f3n de la funci\u00f3n, y en donde dependiendo de la comparaci\u00f3n la soluci\u00f3n se obtendr\u00e1 con uni\u00f3n o intersecci\u00f3n.<\/p>\n<p>&nbsp;<\/p>\n<p><!--Ads3--><\/p>\n<h2 style=\"text-align: center;\"><span style=\"color: #ff0000;\">Las ecuaciones con Valor Absoluto generan dos ecuaciones para obtener la soluci\u00f3n<\/span><\/h2>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ecuacion con Valor Absoluto y su resoluci\u00f3n Una ecuaci\u00f3n con valor absoluto se resuelve planteando dos ecuaciones resultantes de aplicar la definici\u00f3n de valor absoluto, el conjunto soluci\u00f3n ser\u00e1 un conjunto formado por dos elementos que satisfacen a la ecuaci\u00f3n \u00bfC\u00f3mo resolver una ecuaci\u00f3n con Valor Absoluto? Resolver una ecuaci\u00f3n es encontrar un valor num\u00e9rico &#8230; <a title=\"Ecuaci\u00f3n con Valor absoluto\" class=\"read-more\" href=\"https:\/\/laprofematematica.com\/blog\/ecuacion-con-valor-absoluto\/\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":1210,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45],"tags":[127,18],"class_list":["post-749","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematica","tag-ecuacion","tag-valor-absoluto"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Ecuaci\u00f3n con Valor absoluto -<\/title>\n<meta name=\"description\" content=\"Valor Absoluto y su resoluci\u00f3n. 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