{"id":6501,"date":"2019-11-15T16:23:21","date_gmt":"2019-11-15T15:23:21","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=6501"},"modified":"2022-09-05T10:24:58","modified_gmt":"2022-09-05T09:24:58","slug":"exercices-second-degre","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=6501","title":{"rendered":"Exercices second degr\u00e9"},"content":{"rendered":"<p>$$\\textsc{\\textbf{Exercice 1 : }}\\text{ : R\\&rsquo;esoudre} \\dfrac{3x^2-4x+1}{2-3x} ~\\leqslant ~0$$<\/p>\n<h2 style=\"text-align: center;\">\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/Hv5v0LTpHtA\">Aide pour d\u00e9marrer<\/a> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/C1Qj7Y1LAq8\">Correction<\/a><\/h2>\n<hr \/>\n<p>$$\\textsc{\\textbf{Exercice 2 : }}\\text{ Soit }f \\text{ la fonction d\\&rsquo;efinie sur }\\mathbb{R} \\newline\\text{ par\u00a0 } ~f(x)=x^2+x+1.<\/p>\n<p>~\\text{Donner son tableau de variations et \\&rsquo;etudier son signe.}$$<\/p>\n<h2 style=\"text-align: center;\"><a href=\"https:\/\/youtube.com\/embed\/l01IZI-Xano\">Aide pour d\u00e9marrer en vid\u00e9o\u00a0<\/a> \u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/vqR6YWrNvPo\">Correction en vid\u00e9o<\/a><\/h2>\n<h2 style=\"text-align: center;\">Version pdf corrig\u00e9\u00a0 :<a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2019\/11\/Image-captur\u00e9e-15-11-2019-16-44-54.png\"> Tableau variations<\/a> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2019\/11\/Image-captur\u00e9e-15-11-2019-16-45-53.png\"> \u00e9tude de signes<\/a><\/h2>\n<hr \/>\n<p>$$\\textsc{\\textbf{Exercice 3 : }}\\text{ R\\&rsquo;esoudre dans }\\mathbb{R} \\text{:}~(-3x^2+x+2)(x+3)\\geq 0$$<\/p>\n<h2 style=\"text-align: center;\"><a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2019\/11\/Image-captur\u00e9e-15-11-2019-16-45-15.png\">Version pdf du corrig\u00e9<\/a>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <a href=\"https:\/\/youtube.com\/embed\/8mZLf9kj7uM\">Correction vid\u00e9o<\/a><\/h2>\n<hr \/>\n<p>$$\\textsc{\\textbf{Exercice 4:}}\\text{R\\&rsquo;esoudre dans }\\mathbb{R} \\text{:}~(-3x^2-2x+8)(5x^2+2x-3)\\geq 0$$<\/p>\n<h2 style=\"text-align: center;\"><a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2019\/11\/exo-3.png\">Version pdf du corrig\u00e9<\/a> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <a href=\"https:\/\/youtube.com\/embed\/cxvieZuGCCQ\">Correction vid\u00e9o<\/a><\/h2>\n<hr \/>\n<p>$$\\textsc{\\textbf{Exercice 5 : }}\\text{ R\\&rsquo;esoudre dans }\\mathbb{R} \\text{:}~x^3-4x^2+x\\geq 0$$<\/p>\n<h2 style=\"text-align: center;\"><a href=\"https:\/\/youtu.be\/iqVrAPn4EVo\">Version pdf du corrig\u00e9\u00a0<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/iqVrAPn4EVo\">Aide pour d\u00e9marrer<\/a> \u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/VeTGfhUvrMY\">Correction en vid\u00e9o<\/a><\/h2>\n<hr \/>\n<p>$$\\textsc{\\textbf{Exercice 6 : }}\\text{ R\\&rsquo;esoudre dans }\\mathbb{R} \\text{:}~\\dfrac{3x^2+x-2}{x-2}\\angle 0$$<\/p>\n<h2 style=\"text-align: center;\"><a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2019\/11\/exo7.png\">Version pdf<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/v7QcEHOpT2g\">Aide au d\u00e9marrage<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/_jplZSX7vKQ\">Correction vid\u00e9o<\/a><\/h2>\n<hr \/>\n<p>$$\\textsc{\\textbf{Exercice 7: }} \\text{ Soit } f ~\\text{une fonction trin\\^ome.} ~~f~\\text{admet} ~-\\dfrac{1}{2}~ \\text{et}-3 \\newline \\text{comme racines.\u00a0 De plus,} ~f \\text{admet} ~-\\dfrac{25}{8}~\\text{comme extremum. \\newline ~ D\\&rsquo;eterminer l&rsquo;expression de} f(x) \\text{en fonction de}~x \\text{.}$$<\/p>\n","protected":false},"excerpt":{"rendered":"<p>$$\\textsc{\\textbf{Exercice 1 : }}\\text{ : R\\&rsquo;esoudre} \\dfrac{3x^2-4x+1}{2-3x} ~\\leqslant ~0$$ \u00a0\u00a0 Aide pour d\u00e9marrer \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0 Correction $$\\textsc{\\textbf{Exercice 2 : }}\\text{ Soit }f \\text{ la fonction d\\&rsquo;efinie sur }\\mathbb{R} \\newline\\text{ par\u00a0 } ~f(x)=x^2+x+1. ~\\text{Donner son tableau de variations &hellip; <a href=\"https:\/\/mathsguyon.fr\/?page_id=6501\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6501","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/6501","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6501"}],"version-history":[{"count":59,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/6501\/revisions"}],"predecessor-version":[{"id":8837,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/6501\/revisions\/8837"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6501"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}