{"id":14546,"date":"2018-04-15T15:13:14","date_gmt":"2018-04-15T14:13:14","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14546"},"modified":"2022-01-07T22:35:24","modified_gmt":"2022-01-07T22:35:24","slug":"qual-e-esse-numero-positivo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14546","title":{"rendered":"Qual \u00e9 esse n\u00famero positivo?"},"content":{"rendered":"<p><ul id='GTTabs_ul_14546' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14546' class='GTTabs_curr'><a  id=\"14546_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14546' ><a  id=\"14546_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_14546'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Existe um n\u00famero positivo para o qual a express\u00e3o \\[{\\left( {x &#8211; 2} \\right)^2} + x &#8211; 4\\] \u00e9 igual a 40.<\/p>\n<p>Qual \u00e9 esse n\u00famero?<br \/>\nApresenta os c\u00e1lculos que efetuares.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14546' onClick='GTTabs_show(1,14546)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14546'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{{\\left( {x &#8211; 2} \\right)}^2} + x &#8211; 4 = 40}&amp; \\Leftrightarrow &amp;{{x^2} &#8211; 4x + 4 + x &#8211; 4 = 40}\\\\{}&amp; \\Leftrightarrow &amp;{{x^2} &#8211; 3x &#8211; 40 = 0}\\\\{}&amp; \\Leftrightarrow &amp;{x = \\frac{{3 \\mp \\sqrt {9 + 160} }}{2}}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = \\frac{{3 &#8211; 13}}{2}}&amp; \\vee &amp;{x = \\frac{{3 + 13}}{2}}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = &#8211; 5}&amp; \\vee &amp;{x = 8}\\end{array}}\\end{array}\\]<\/p>\n<p>Esse n\u00famero positivo \u00e9 8.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14546' onClick='GTTabs_show(0,14546)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Existe um n\u00famero positivo para o qual a express\u00e3o \\[{\\left( {x &#8211; 2} \\right)^2} + x &#8211; 4\\] \u00e9 igual a 40. Qual \u00e9 esse n\u00famero? Apresenta os c\u00e1lculos que efetuares.&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14077,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,303],"tags":[426,306,304],"series":[],"class_list":["post-14546","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-equacao-do-2-o-grau","tag-formula-resolvente"],"views":2029,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat22.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14546","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=14546"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14546\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14546"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14546"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14546"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}