{"id":1098,"date":"2019-03-24T09:01:13","date_gmt":"2019-03-24T09:01:13","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1098"},"modified":"2019-03-31T11:07:53","modified_gmt":"2019-03-31T11:07:53","slug":"desigualdad-con-numeros-positivos","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2019\/03\/24\/desigualdad-con-numeros-positivos\/","title":{"rendered":"Desigualdad con n\u00fameros positivos"},"content":{"rendered":"<pre>Problema 2 del s\u00e1bado de la Fase Local de la LV OME 2019\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Prueba que para todo a, b, c &gt; 0 se cumple la siguiente desigualdad: a\u00b2\/(b\u00b3c) \u2013 a\/b\u00b2 &ge; c\/b \u2013 c\u00b2\/a.<\/p>\n<p>\u00bfEn qu\u00e9 caso se cumple la igualdad?<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/03\/86.Desigualdadconpositivos.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-1099\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/03\/86.Desigualdadconpositivos.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2019\/03\/86.Desigualdadconpositivos-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2019\/03\/30\/solucion-a-desigualdad-con-numeros-positivos\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 2 del s\u00e1bado de la Fase Local de la LV OME 2019 Se dirige a una edad de: 16-17 a\u00f1os Prueba que para todo a, b, c &gt; 0 se cumple la siguiente desigualdad: a\u00b2\/(b\u00b3c) \u2013 a\/b\u00b2 &ge; c\/b \u2013 c\u00b2\/a. \u00bfEn qu\u00e9 caso se cumple la igualdad? 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-1098","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\/1098","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=1098"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1098\/revisions"}],"predecessor-version":[{"id":1108,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1098\/revisions\/1108"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1098"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1098"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1098"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}