{"id":3722,"date":"2026-09-15T06:43:26","date_gmt":"2026-09-15T06:43:26","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3722"},"modified":"2026-09-15T06:43:27","modified_gmt":"2026-09-15T06:43:27","slug":"sistema-de-ecuaciones","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2026\/09\/15\/sistema-de-ecuaciones\/","title":{"rendered":"Sistema de ecuaciones"},"content":{"rendered":"<pre>Problema 8 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 class=\"wp-block-paragraph\">Encuentra todas las soluciones reales del sistema de ecuaciones:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x\u00b2 \u2013 y\u00b2 = 2(xz + yz + x + y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y\u00b2 \u2013 z\u00b2 = 2(yx + zx + y + z)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">z\u00b2 \u2013 x\u00b2 = 2(zy + xy + z + x)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"162\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2026\/09\/402.sistema2.png\" alt=\"\" class=\"wp-image-3723\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Soluci\u00f3n: pr\u00f3ximamente<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 8 de la Fase Local de la LXII Olimpiada Matem\u00e1tica Espa\u00f1ola Se dirige a una edad de: 16-17 a\u00f1os Encuentra todas las soluciones reales del sistema de ecuaciones: x\u00b2 \u2013 y\u00b2 = 2(xz + yz + x + y) y\u00b2 \u2013 z\u00b2 = 2(yx + zx + y + z) z\u00b2 \u2013 x\u00b2 = [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2242029,2849],"tags":[],"class_list":["post-3722","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\/3722","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=3722"}],"version-history":[{"count":1,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3722\/revisions"}],"predecessor-version":[{"id":3724,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3722\/revisions\/3724"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3722"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3722"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3722"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}