{"id":14412,"date":"2018-04-12T18:10:51","date_gmt":"2018-04-12T17:10:51","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14412"},"modified":"2022-01-06T23:18:58","modified_gmt":"2022-01-06T23:18:58","slug":"determina-o-binomio-discriminante-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14412","title":{"rendered":"Determina o bin\u00f3mio discriminante"},"content":{"rendered":"<p><ul id='GTTabs_ul_14412' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14412' class='GTTabs_curr'><a  id=\"14412_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14412' ><a  id=\"14412_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_14412'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Para cada uma das equa\u00e7\u00f5es, determina o bin\u00f3mio discriminante e diz quantas solu\u00e7\u00f5es tem.<\/p>\n<ol>\n<li>\\({x^2} &#8211; 2x + 1 = 0\\)<\/li>\n<li>\\(2{x^2} &#8211; x &#8211; 1 = 0\\)<\/li>\n<li>\\({x^2} + 3x + 4 = 0\\)<\/li>\n<li>\\({a^2} &#8211; 7a &#8211; 18 = 0\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14412' onClick='GTTabs_show(1,14412)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14412'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>\\({x^2} &#8211; 2x + 1 = 0\\)<br \/>\nComo\u00a0\\(\\Delta = {\\left( { &#8211; 2} \\right)^2} &#8211; 4 \\times 1 \\times 1 = 0\\), ent\u00e3o a equa\u00e7\u00e3o possui uma solu\u00e7\u00e3o.<br \/>\n\u00ad<\/li>\n<li>\\(2{x^2} &#8211; x &#8211; 1 = 0\\)<br \/>\nComo\u00a0\\(\\Delta = {\\left( { &#8211; 1} \\right)^2} &#8211; 4 \\times 2 \\times \\left( { &#8211; 1} \\right) = 9 &gt; 0\\), ent\u00e3o a equa\u00e7\u00e3o tem duas solu\u00e7\u00f5es.<br \/>\n\u00ad<\/li>\n<li>\\({x^2} + 3x + 4 = 0\\)<br \/>\nComo\u00a0\\(\\Delta = {3^2} &#8211; 4 \\times 1 \\times 4 = &#8211; 7 &lt; 0\\), ent\u00e3o a equa\u00e7\u00e3o tem zero solu\u00e7\u00f5es (\u00e9 imposs\u00edvel).<br \/>\n\u00ad<\/li>\n<li>\\({a^2} &#8211; 7a &#8211; 18 = 0\\)<br \/>\nComo\u00a0\\(\\Delta = {\\left( { &#8211; 7} \\right)^2} &#8211; 4 \\times 1 \\times \\left( { &#8211; 18} \\right) = 121 &gt; 0\\), ent\u00e3o a equa\u00e7\u00e3o tem duas solu\u00e7\u00f5es.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14412' onClick='GTTabs_show(0,14412)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Para cada uma das equa\u00e7\u00f5es, determina o bin\u00f3mio discriminante e diz quantas solu\u00e7\u00f5es tem. \\({x^2} &#8211; 2x + 1 = 0\\) \\(2{x^2} &#8211; x &#8211; 1 = 0\\) \\({x^2} + 3x&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14060,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,303],"tags":[426,305,306],"series":[],"class_list":["post-14412","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-equacoes-do-2-o-grau","tag-9-o-ano","tag-binomio-discriminante","tag-equacao-do-2-o-grau"],"views":3513,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat05.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14412","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14412"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14412\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14060"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14412"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14412"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14412"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}