{"id":1107,"date":"2014-01-26T20:26:41","date_gmt":"2014-01-27T03:26:41","guid":{"rendered":"http:\/\/new-gro.dyn.hhhh.org\/joeboy\/blog\/?p=1107"},"modified":"2014-01-26T20:27:02","modified_gmt":"2014-01-27T03:27:02","slug":"mathematical-quickies-no-84","status":"publish","type":"post","link":"https:\/\/www.hhhh.org\/joeboy\/blog\/?p=1107","title":{"rendered":"Mathematical Quickies No.84"},"content":{"rendered":"<p>This is another example of a substitution problem. Normally I would have just worked it out long hand, expanding thing and solving. That&#8217;s a lot of work and frankly kind of a foolish way to attack the problem looking at it now. Since I started looking for substitutions first &#8211; the problem collapses to simple in one substitution. Unfortunately its still fairly un-elegant &#8211; so I don&#8217;t think this is the solution they book is looking for. <\/p>\n<p>The problem is stated as: &#8220;Solve: (6x+28)^1\/3 &#8211; (6x-28)^1\/3 = 2&#8221;<\/p>\n<p><A HREF=\"wp-content\/uploads\/2014\/01\/Mathematical_Quickies_No84.pdf\">My solution<\/A><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another example of a substitution problem. Normally I would have just worked it out long hand, expanding thing and solving. That&#8217;s a lot of work and frankly kind of a foolish way to attack the problem looking at it now. Since I started looking for substitutions first &#8211; the problem collapses to simple [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[40,12,59],"tags":[],"class_list":["post-1107","post","type-post","status-publish","format-standard","hentry","category-book-notes","category-problems","category-variable-substitutions"],"_links":{"self":[{"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1107","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1107"}],"version-history":[{"count":4,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1107\/revisions"}],"predecessor-version":[{"id":1112,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1107\/revisions\/1112"}],"wp:attachment":[{"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1107"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1107"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1107"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}