{"id":2115,"date":"2021-07-11T17:07:51","date_gmt":"2021-07-11T17:07:51","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2115"},"modified":"2021-07-18T11:23:50","modified_gmt":"2021-07-18T11:23:50","slug":"cuatro-numeros-con-condiciones","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2021\/07\/11\/cuatro-numeros-con-condiciones\/","title":{"rendered":"Cuatro n\u00fameros con condiciones"},"content":{"rendered":"<pre>Problema 4 de la fase nacional de la 57 Olimpiada Matem\u00e1tica Espa\u00f1ola (2021)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sean a, b, c y d n\u00fameros reales  tales que a + b + c + d = 0 y a\u00b2 + b\u00b2 + c\u00b2 + d\u00b2 = 12.<\/p>\n<p>Halla el valor m\u00ednimo y el valor m\u00e1ximo que puede tomar el producto abcd, y determina para qu\u00e9 valores de a, b, c y d se consiguen ese m\u00ednimo y ese m\u00e1ximo.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/204.cuatronumeros.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-2116\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/204.cuatronumeros.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/204.cuatronumeros-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2021\/07\/17\/solucion-a-cuatro-numeros-con-condiciones\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 4 de la fase nacional de la 57 Olimpiada Matem\u00e1tica Espa\u00f1ola (2021) Se dirige a una edad de: 16-17 a\u00f1os Sean a, b, c y d n\u00fameros reales tales que a + b + c + d = 0 y a\u00b2 + b\u00b2 + c\u00b2 + d\u00b2 = 12. Halla el valor m\u00ednimo y [&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-2115","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\/2115","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=2115"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2115\/revisions"}],"predecessor-version":[{"id":2124,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2115\/revisions\/2124"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2115"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2115"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}