{"id":3703,"date":"2026-06-29T06:47:47","date_gmt":"2026-06-29T06:47:47","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3703"},"modified":"2026-06-29T06:47:49","modified_gmt":"2026-06-29T06:47:49","slug":"un-sistema-de-ecuaciones-con-cierta-simetria-2","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2026\/06\/29\/un-sistema-de-ecuaciones-con-cierta-simetria-2\/","title":{"rendered":"Un sistema de ecuaciones con cierta simetr\u00eda"},"content":{"rendered":"<pre>\nProblema 1 de la Fase Local de la LXII Olimpiada Matem\u00e1tica Espa\u00f1ola\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n\n\n<p>Determina todas las soluciones reales del sistema de ecuaciones siguiente:<\/p>\n\n\n\n<p>x\u00b3 = 5x + y<\/p>\n\n\n\n<p>y\u00b3 = 5y + x<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2026\/06\/395.Sistema.png\" alt=\"\" class=\"wp-image-3705\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: pr\u00f3ximamente<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 de la Fase Local de la LXII Olimpiada Matem\u00e1tica Espa\u00f1ola Se dirige a una edad de: 16-17 a\u00f1os Determina todas las soluciones reales del sistema de ecuaciones siguiente: x\u00b3 = 5x + y y\u00b3 = 5y + x Soluci\u00f3n: pr\u00f3ximamente<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2242029,2849],"tags":[],"class_list":["post-3703","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-ome","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3703","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=3703"}],"version-history":[{"count":1,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3703\/revisions"}],"predecessor-version":[{"id":3707,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3703\/revisions\/3707"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3703"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3703"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3703"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}