{"id":359,"date":"2020-02-28T11:13:25","date_gmt":"2020-02-28T17:13:25","guid":{"rendered":"http:\/\/blogs.acu.edu\/mu_sigma\/?p=359"},"modified":"2020-02-28T11:13:36","modified_gmt":"2020-02-28T17:13:36","slug":"problem-11-spring-2020","status":"publish","type":"post","link":"https:\/\/blogs.acu.edu\/mu_sigma\/2020\/02\/28\/problem-11-spring-2020\/","title":{"rendered":"Problem 11 &#8211; Spring 2020 &#8211; An Easy Fermat Case"},"content":{"rendered":"<p><span style=\"font-size: xx-large\"><b>An Easy Fermat Case<\/b><\/span><\/p>\n<p>Find all solutions in integers of\u00a0<i>x<\/i><sup>2<\/sup>\u00a0+\u00a0<i>y<\/i><sup>2<\/sup>\u00a0=\u00a0<i>z<\/i><sup>2<\/sup>, with\u00a0<i>x<\/i>,\u00a0<i>y<\/i>, and\u00a0<i>z<\/i>\u00a0in arithmetic progression.<\/p>\n<p><em>Please submit all problem solutions to mathpotw@acu.edu before 5:00 PM on March 5th.\u00a0<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>An Easy Fermat Case Find all solutions in integers of\u00a0x2\u00a0+\u00a0y2\u00a0=\u00a0z2, with\u00a0x,\u00a0y, and\u00a0z\u00a0in arithmetic progression. Please submit all problem solutions to mathpotw@acu.edu before 5:00 PM on March 5th.\u00a0<\/p>\n","protected":false},"author":130,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[181534],"tags":[],"class_list":["post-359","post","type-post","status-publish","format-standard","hentry","category-problem-of-the-week"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/359","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/comments?post=359"}],"version-history":[{"count":2,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/359\/revisions"}],"predecessor-version":[{"id":361,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/359\/revisions\/361"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/media?parent=359"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/categories?post=359"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/tags?post=359"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}