{"id":3549,"date":"2025-03-15T08:57:27","date_gmt":"2025-03-15T08:57:27","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3549"},"modified":"2025-03-22T16:17:53","modified_gmt":"2025-03-22T16:17:53","slug":"tres-numeros","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/03\/15\/tres-numeros\/","title":{"rendered":"Tres n\u00fameros"},"content":{"rendered":"<pre>\nProblema 8 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>Consideramos una lista con los n\u00fameros 0, 1 y ra\u00edz(3).<\/p>\n\n\n\n<p>De forma sucesiva, se va aplicando la siguiente operaci\u00f3n: se escoge uno de los tres n\u00fameros de la lista y se le a\u00f1ade un m\u00faltiplo racional arbitrario de la diferencia entre los otros dos.<\/p>\n\n\n\n<p>Repitiendo este proceso, \u00bfes posible conseguir que los tres n\u00fameros de la lista sean 0, ra\u00edz(3) \u2212 1 y ra\u00edz(3) + 1?<\/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\/378.Numeros.png\" alt=\"\" class=\"wp-image-3550\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/03\/22\/solucion-a-tres-numeros\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 8 de la Fase Local de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2025) Se dirige a una edad de: 16-17 a\u00f1os Consideramos una lista con los n\u00fameros 0, 1 y ra\u00edz(3). De forma sucesiva, se va aplicando la siguiente operaci\u00f3n: se escoge uno de los tres n\u00fameros de la lista y se le a\u00f1ade un m\u00faltiplo [&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-3549","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\/3549","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=3549"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3549\/revisions"}],"predecessor-version":[{"id":3558,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3549\/revisions\/3558"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3549"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3549"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3549"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}