{"id":670,"date":"2012-04-05T23:20:43","date_gmt":"2012-04-05T22:20:43","guid":{"rendered":"http:\/\/nosolomates.es\/?page_id=670"},"modified":"2012-04-05T23:31:02","modified_gmt":"2012-04-05T22:31:02","slug":"670-2","status":"publish","type":"page","link":"https:\/\/nosolomates.es\/?page_id=670","title":{"rendered":"Ecuaciones de 3<sup>er<\/sup> grado"},"content":{"rendered":"<p>Herramienta para resolver ecuaciones de tercer grado. Introduce los coeficientes en las cajas y pulsa &#8220;Calcular&#8221;.<\/p>\n<p><center><\/p>\n<div id=\"utilidades\"><h7><iframe loading=\"lazy\" src=\"web\/ecu3grado.htm\" width=\"470\" height=\"320\" scrolling=\"auto\" frameborder=\"0\"><\/p>\n<p>Texto alternativo para browsers que no aceptan iframes.<\/p>\n<p>    <\/iframe><\/h7><\/div>\n<p><\/center><br \/>\n<\/p>\n<h1>Explicaci\u00f3n:<\/h1>\n<p><\/p>\n<p>Una ecuaci\u00f3n de tercer grado es aquella cuyo grado mayor es 3, pudi\u00e9ndose reducir al tipo:<br \/><center><\/p>\n<p>ax<sup>3<\/sup> + bx<sup>2<\/sup> + cx + d = 0<\/p>\n<p><\/center><\/p>\n<p>donde a, b, c y d son los coeficientes. En principio, estas ecuaciones tienen 3 soluciones, aunque es posible que no todas sean reales.<br \/>\nNo existe una forma sencilla para resolver este tipo de ecuaciones, y en muchos casos hay que hacerlo mediante c\u00e1lculos num\u00e9ricos, pero s\u00ed sabemos resolverlas en el caso de que una de las tres soluciones sea entera, ya que, en este caso, esa soluci\u00f3n es un divisor del t\u00e9rmino independiente, <b>d<\/b>. Vamos probando, pues, mediante Ruffini con todos los divisores de <b>d<\/b> hasta dar con ella. Una vez hallada esta ra\u00edz, reducimos la ecuaci\u00f3n a una de segundo grado, que ya sabemos resolver, con la que obtenemos las otras dos soluciones.<\/p>\n<div><\/br>&nbsp;<\/div>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-official sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-facebook\"><div class=\"fb-share-button\" data-href=\"https:\/\/nosolomates.es\/?page_id=670\" data-layout=\"button_count\"><\/div><\/li><li class=\"share-twitter\"><a href=\"https:\/\/twitter.com\/share\" class=\"twitter-share-button\" data-url=\"https:\/\/nosolomates.es\/?page_id=670\" data-text=\"Ecuaciones de 3er grado\"  >Tweet<\/a><\/li><li class=\"share-linkedin\"><div class=\"linkedin_button\"><script type=\"in\/share\" data-url=\"https:\/\/nosolomates.es\/?page_id=670\" data-counter=\"right\"><\/script><\/div><\/li><li class=\"share-pinterest\"><div class=\"pinterest_button\"><a href=\"https:\/\/www.pinterest.com\/pin\/create\/button\/?url=https%3A%2F%2Fnosolomates.es%2F%3Fpage_id%3D670&#038;media=https%3A%2F%2Fsecure.gravatar.com%2Favatar%2Fc9ba1828908559b850337a4baa073367%3Fs%3D96%26d%3Dmm%26r%3Dg&#038;description=Ecuaciones%20de%203%3Csup%3Eer%3C%2Fsup%3E%20grado\" data-pin-do=\"buttonPin\" data-pin-config=\"beside\"><img src=\"\/\/assets.pinterest.com\/images\/pidgets\/pinit_fg_en_rect_gray_20.png\" \/><\/a><\/div><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Herramienta para resolver ecuaciones de tercer grado. Introduce los coeficientes en las cajas y pulsa &#8220;Calcular&#8221;. Texto alternativo para browsers que no aceptan iframes. Explicaci\u00f3n: Una ecuaci\u00f3n de tercer grado es aquella cuyo grado mayor es 3, pudi\u00e9ndose reducir al &hellip; <a href=\"https:\/\/nosolomates.es\/?page_id=670\">Sigue leyendo <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-official sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-facebook\"><div class=\"fb-share-button\" data-href=\"https:\/\/nosolomates.es\/?page_id=670\" data-layout=\"button_count\"><\/div><\/li><li class=\"share-twitter\"><a href=\"https:\/\/twitter.com\/share\" class=\"twitter-share-button\" data-url=\"https:\/\/nosolomates.es\/?page_id=670\" data-text=\"Ecuaciones de 3er grado\"  >Tweet<\/a><\/li><li class=\"share-linkedin\"><div class=\"linkedin_button\"><script type=\"in\/share\" data-url=\"https:\/\/nosolomates.es\/?page_id=670\" data-counter=\"right\"><\/script><\/div><\/li><li class=\"share-pinterest\"><div class=\"pinterest_button\"><a href=\"https:\/\/www.pinterest.com\/pin\/create\/button\/?url=https%3A%2F%2Fnosolomates.es%2F%3Fpage_id%3D670&#038;media=https%3A%2F%2Fsecure.gravatar.com%2Favatar%2Fc9ba1828908559b850337a4baa073367%3Fs%3D96%26d%3Dmm%26r%3Dg&#038;description=Ecuaciones%20de%203%3Csup%3Eer%3C%2Fsup%3E%20grado\" data-pin-do=\"buttonPin\" data-pin-config=\"beside\"><img src=\"\/\/assets.pinterest.com\/images\/pidgets\/pinit_fg_en_rect_gray_20.png\" \/><\/a><\/div><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"parent":625,"menu_order":5,"comment_status":"open","ping_status":"open","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"jetpack_shortlink":"https:\/\/wp.me\/P9BfV-aO","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages\/670"}],"collection":[{"href":"https:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nosolomates.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=670"}],"version-history":[{"count":3,"href":"https:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages\/670\/revisions"}],"predecessor-version":[{"id":673,"href":"https:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages\/670\/revisions\/673"}],"up":[{"embeddable":true,"href":"https:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages\/625"}],"wp:attachment":[{"href":"https:\/\/nosolomates.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=670"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}