{"id":1537,"date":"2020-02-23T07:31:45","date_gmt":"2020-02-23T07:31:45","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1537"},"modified":"2020-03-13T03:39:38","modified_gmt":"2020-03-13T03:39:38","slug":"un-sistema-muy-grande","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2020\/02\/23\/un-sistema-muy-grande\/","title":{"rendered":"Un sistema muy grande"},"content":{"rendered":"<pre>Problema 3 de la Fase Local de la LVI OME 2020\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Encuentra todos los posibles valores x, y z, para los que se cumple:<br \/>\nx + y + z = 1<br \/>\nx\u00b2y + y\u00b2z + z\u00b2x = xy\u00b2 + yz\u00b2 + zx\u00b2<br \/>\nx\u00b3 + y\u00b2 + z = y\u00b3 + z\u00b2 + x  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2020\/02\/134.Sistemalargo.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-1538\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2020\/02\/134.Sistemalargo.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2020\/02\/134.Sistemalargo-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2020\/02\/29\/solucion-a-un-sistema-muy-grande\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 3 de la Fase Local de la LVI OME 2020 Se dirige a una edad de: 16-17 a\u00f1os Encuentra todos los posibles valores x, y z, para los que se cumple: x + y + z = 1 x\u00b2y + y\u00b2z + z\u00b2x = xy\u00b2 + yz\u00b2 + zx\u00b2 x\u00b3 + y\u00b2 + z [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2849],"tags":[],"class_list":["post-1537","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1537","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=1537"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1537\/revisions"}],"predecessor-version":[{"id":1562,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1537\/revisions\/1562"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}