{"id":196,"date":"2018-10-26T18:58:43","date_gmt":"2018-10-26T23:58:43","guid":{"rendered":"http:\/\/blogs.acu.edu\/mu_sigma\/?p=196"},"modified":"2018-11-02T13:08:07","modified_gmt":"2018-11-02T18:08:07","slug":"problem-7-a-solution-maple-cant-do-october-26th-2018","status":"publish","type":"post","link":"https:\/\/blogs.acu.edu\/mu_sigma\/2018\/10\/26\/problem-7-a-solution-maple-cant-do-october-26th-2018\/","title":{"rendered":"Problem 7 &#8211; A Solution Maple Can&#8217;t Do &#8211; October 26, 2018"},"content":{"rendered":"<p><span style=\"font-size: xx-large\"><b>A Solution Maple Can&#8217;t Do<\/b><\/span><\/p>\n<p><i>This problem is from Dr. Ehrke.<\/i><\/p>\n<p>In this problem of the week we will try to solve a problem that WolframAlpha, Maple, etc.. can&#8217;t even do.\u00a0 Find all <span style=\"text-decoration: underline\"><strong>integer solutions<\/strong> <\/span>to the implicit equation<\/p>\n<p style=\"text-align: center\"><a href=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2018\/10\/implicitsoln.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-198\" src=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2018\/10\/implicitsoln.png\" alt=\"\" width=\"114\" height=\"13\" \/>.<\/a><\/p>\n<p>An integer solution is a pair (x,y) that makes both sides of the equation equal, but x and y can only be integers.\u00a0 Hint:\u00a0 Consider what the last digit of the right and left hand side would be for different inputs (x,y).<\/p>\n<p><span style=\"font-size: xx-large\"><b>Solution<\/b><\/span><\/p>\n<p><em>This problem had one correct response from Wyatt Witemeyer.\u00a0\u00a0<\/em><\/p>\n<p>See the solution explained in the video below.<\/p>\n<p><iframe loading=\"lazy\" width=\"1080\" height=\"608\" src=\"https:\/\/www.youtube.com\/embed\/DOISjFviqkM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A Solution Maple Can&#8217;t Do This problem is from Dr. Ehrke. In this problem of the week we will try to solve a problem that WolframAlpha, Maple, etc.. can&#8217;t even do.\u00a0 Find all integer solutions to the implicit equation . An integer solution is a pair (x,y) that makes both sides of the equation equal, [&hellip;]<\/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-196","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\/196","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=196"}],"version-history":[{"count":4,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/196\/revisions"}],"predecessor-version":[{"id":205,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/196\/revisions\/205"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/media?parent=196"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/categories?post=196"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/tags?post=196"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}