{"id":160,"date":"2017-09-16T15:56:57","date_gmt":"2017-09-16T15:56:57","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=160"},"modified":"2017-11-04T10:20:06","modified_gmt":"2017-11-04T10:20:06","slug":"ecuaciones-con-y-sin","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2017\/09\/16\/ecuaciones-con-y-sin\/","title":{"rendered":"Ecuaciones con y sin"},"content":{"rendered":"<pre>Torneo de las ciudades, 2016 (Primavera, nivel A junior)\r\nSe dirige a una edad de: 12\/15<\/pre>\n<p>a) \u00bfExisten enteros a y b de forma que la ecuaci\u00f3n x<sup>2<\/sup> + ax + b = 0 no tiene soluciones reales y la ecuaci\u00f3n [x<sup>2<\/sup>] + ax + b = 0 s\u00ed que tiene al menos una soluci\u00f3n real?<\/p>\n<p>b) \u00bfExisten enteros a y b de forma que la ecuaci\u00f3n x<sup>2<\/sup> + 2ax + b = 0 no tiene soluciones reales y la ecuaci\u00f3n [x<sup>2<\/sup>] + 2ax + b = 0 s\u00ed que tiene al menos una soluci\u00f3n real?<\/p>\n<p>(La funci\u00f3n [k] denota la parte entera de k, es decir, el entero m\u00e1s grande que est\u00e1 por debajo de k.)<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-161\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2017\/09\/12.ecuacionesconysin.png\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2017\/09\/12.ecuacionesconysin.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2017\/09\/12.ecuacionesconysin-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2017\/09\/22\/ecuaciones-con-y-sin-s\/\">Aqu\u00ed<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Torneo de las ciudades, 2016 (Primavera, nivel A junior) Se dirige a una edad de: 12\/15 a) \u00bfExisten enteros a y b de forma que la ecuaci\u00f3n x2 + ax + b = 0 no tiene soluciones reales y la ecuaci\u00f3n [x2] + ax + b = 0 s\u00ed que tiene al menos una soluci\u00f3n [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2849],"tags":[],"class_list":["post-160","post","type-post","status-publish","format-standard","hentry","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=160"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/160\/revisions"}],"predecessor-version":[{"id":245,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/160\/revisions\/245"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=160"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=160"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}