{"id":3543,"date":"2025-03-08T09:19:05","date_gmt":"2025-03-08T09:19:05","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3543"},"modified":"2025-03-15T08:02:47","modified_gmt":"2025-03-15T08:02:47","slug":"ecuacion-diofantica-3","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/03\/08\/ecuacion-diofantica-3\/","title":{"rendered":"Ecuaci\u00f3n diof\u00e1ntica"},"content":{"rendered":"<pre>\nProblema 7 de la Fase Local de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2025)\nSe dirige a una edad de: 16-17 a\u00f1os\n<\/pre>\n\n\n<p>Halla todos los n\u00fameros enteros a y b que satisfacen la ecuaci\u00f3n siguiente:<\/p>\n\n\n\n<p>a(a\u00b2 + b\u00b2) + 7 = 5a\u00b2 + 3b\u00b2<\/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\/2025\/03\/377.Diofantica.png\" alt=\"\" class=\"wp-image-3544\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/03\/15\/solucion-a-ecuacion-diofantica-3\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 7 de la Fase Local de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2025) Se dirige a una edad de: 16-17 a\u00f1os Halla todos los n\u00fameros enteros a y b que satisfacen la ecuaci\u00f3n siguiente: a(a\u00b2 + b\u00b2) + 7 = 5a\u00b2 + 3b\u00b2 Soluci\u00f3n: Aqu\u00ed.<\/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-3543","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\/3543","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=3543"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3543\/revisions"}],"predecessor-version":[{"id":3548,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3543\/revisions\/3548"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3543"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3543"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3543"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}