{"id":2445,"date":"2022-05-01T07:02:20","date_gmt":"2022-05-01T07:02:20","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2445"},"modified":"2022-05-08T06:28:34","modified_gmt":"2022-05-08T06:28:34","slug":"un-sistema-con-potencias","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2022\/05\/01\/un-sistema-con-potencias\/","title":{"rendered":"Un sistema con potencias"},"content":{"rendered":"<p>Problema 3 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2022 (viernes tarde)<br \/>\nSe dirige a una edad de: 16-17 a\u00f1os<br \/>\nHallar todas las ternas de n\u00fameros reales (a, b, c) que cumplan el sistema:<br \/>\na + b + c = 3<br \/>\n2<sup>a<\/sup> + 2<sup>b<\/sup> + 2<sup>c<\/sup> = 7<br \/>\n2<sup>-a<\/sup> + 2<sup>-b<\/sup> = \u00be<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2022\/05\/245.sistema.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-2446\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2022\/05\/245.sistema.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2022\/05\/245.sistema-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2022\/05\/08\/solucion-a-un-sistema-con-potencias\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 3 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2022 (viernes tarde) Se dirige a una edad de: 16-17 a\u00f1os Hallar todas las ternas de n\u00fameros reales (a, b, c) que cumplan el sistema: a + b + c = 3 2a + 2b + 2c = 7 2-a + 2-b = [&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-2445","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\/2445","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=2445"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2445\/revisions"}],"predecessor-version":[{"id":2454,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2445\/revisions\/2454"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2445"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2445"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}