{"id":2143,"date":"2021-08-09T16:01:54","date_gmt":"2021-08-09T16:01:54","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2143"},"modified":"2021-08-14T19:04:17","modified_gmt":"2021-08-14T19:04:17","slug":"entre-1010-y-2020","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2021\/08\/09\/entre-1010-y-2020\/","title":{"rendered":"Entre 1010 y 2020"},"content":{"rendered":"<pre>Problema 1 de la fase catalana de la 57 Olimpiada Matem\u00e1tica Espa\u00f1ola (2020\/21)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sean a y b dos n\u00fameros reales tales que 1010 \u2264 a, b \u2264 2020.<\/p>\n<p>Demuestra que (a + b)(1\/a + 1\/b) \u2264 9\/2.<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/208.entre1010y2020.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-2144\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/208.entre1010y2020.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/208.entre1010y2020-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2021\/08\/14\/solucion-a-entre-1010-y-2020\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 de la fase catalana de la 57 Olimpiada Matem\u00e1tica Espa\u00f1ola (2020\/21) Se dirige a una edad de: 16-17 a\u00f1os Sean a y b dos n\u00fameros reales tales que 1010 \u2264 a, b \u2264 2020. Demuestra que (a + b)(1\/a + 1\/b) \u2264 9\/2. 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":[2242021,1738,2849],"tags":[],"class_list":["post-2143","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\/2143","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=2143"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2143\/revisions"}],"predecessor-version":[{"id":2157,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2143\/revisions\/2157"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2143"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2143"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}