{"id":10684,"date":"2021-03-14T21:23:02","date_gmt":"2021-03-14T21:23:02","guid":{"rendered":"http:\/\/www.max-sperling.bplaced.net\/?p=10684"},"modified":"2021-03-14T21:23:02","modified_gmt":"2021-03-14T21:23:02","slug":"analysis-example-1","status":"publish","type":"post","link":"http:\/\/www.max-sperling.bplaced.net\/?p=10684","title":{"rendered":"Math &#8211; Exercise 2 (Analysis)"},"content":{"rendered":"<p><strong>Given<\/strong><br \/>\n<center>\\(ax^2-5x+2=0\\)<\/center><\/p>\n<hr>\n<p><strong>Find<\/strong><br \/>\n<center>All a that this equation has only one solution.<\/center><\/p>\n<hr>\n<p><strong>Solution<\/strong><br \/>\n<center><br \/>\n\\(<br \/>\n\\begin{array}{l}<br \/>\n  \\text{A linear equation has just one solution,} \\\\<br \/>\n  \\text{if the gradient isn&#8217;t zero.}\\\\<br \/>\n  a_1=0 \\\\\\\\<br \/>\n  \\text{A quadratic equation has just one solution,} \\\\<br \/>\n  \\text{if}\\ b^2-4ac=0\\ \\text{for}\\ x=\\frac{-b\\pm\\sqrt{b^2-4ac}}{2a}\\ \\text{(quadratic formula)}. \\\\<br \/>\n  25-8a_2=0 \\\\<br \/>\n  a_2=\\frac{25}{8}<br \/>\n\\end{array}<br \/>\n\\)<br \/>\n<\/center><\/p>\n<hr>\n<p><strong>Answer<\/strong><br \/>\n<center>\\(a_1=0,\\ a_2=\\frac{25}{8}\\)<\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given Find All a that this equation has only one solution. Solution Answer<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[47],"tags":[],"_links":{"self":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/10684"}],"collection":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10684"}],"version-history":[{"count":0,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/10684\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10684"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10684"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10684"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}