{"id":27995,"date":"2021-09-10T12:26:10","date_gmt":"2021-09-10T16:26:10","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=27995"},"modified":"2021-09-10T12:26:13","modified_gmt":"2021-09-10T16:26:13","slug":"cubic-polynomials-ax%c2%b3bx%c2%b2cxd-with-three-real-roots-can-be-solved-using-trigonometry","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=27995","title":{"rendered":"Cubic polynomials (ax\u00b3+bx\u00b2+cx+d) with three real roots can be solved using trigonometry"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-rich is-provider-twitter wp-block-embed-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">cubic polynomials (ax\u00b3+bx\u00b2+cx+d) with three real roots can be solved using trigonometry<br><br>you can visualize it geometrically with an equilateral triangle<br><br>\ud83d\udd35 the vertices align with the roots<br>\ud83d\udd34 the center with the inflection point<br>\ud83d\udfe2 the incircle boundary with the local min\/max <a href=\"https:\/\/t.co\/doBrGI7pDp\">pic.twitter.com\/doBrGI7pDp<\/a><\/p>&mdash; Freya the stray (@FreyaHolmer) <a href=\"https:\/\/twitter.com\/FreyaHolmer\/status\/1405987148860375044?ref_src=twsrc%5Etfw\">June 18, 2021<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-27995","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27995","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27995"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27995\/revisions"}],"predecessor-version":[{"id":27996,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27995\/revisions\/27996"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27995"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=27995"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=27995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}