{"id":24679,"date":"2023-04-01T18:45:04","date_gmt":"2023-04-01T17:45:04","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24679"},"modified":"2023-04-02T19:31:43","modified_gmt":"2023-04-02T18:31:43","slug":"qual-e-o-numero-3","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24679","title":{"rendered":"Qual \u00e9 o n\u00famero?"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24679' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24679' class='GTTabs_curr'><a  id=\"24679_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24679' ><a  id=\"24679_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_24679'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Qual \u00e9 o n\u00famero, tal que:<\/p>\n<ol>\n<li>o seu quadrado \u00e9 igual ao seu qu\u00edntuplo?<\/li>\n<li>o dobro do quadrado \u00e9 8?<\/li>\n<li>o dobro do seu quadrado \u00e9 igual \u00e0 sua oitava parte?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24679' onClick='GTTabs_show(1,24679)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24679'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Qual \u00e9 o n\u00famero, tal que:<\/p>\n<\/blockquote>\n<ol>\n<li>\n<blockquote>o seu quadrado \u00e9 igual ao seu qu\u00edntuplo?<\/blockquote>\n<\/li>\n<li>\n<blockquote>o dobro do quadrado \u00e9 8?<\/blockquote>\n<\/li>\n<li>\n<blockquote>o dobro do seu quadrado \u00e9 igual \u00e0 sua oitava parte?<\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<ol>\n<li>Equacionando o problema e resolvendo a equa\u00e7\u00e3o, temos:<br \/>\\[\\begin{array}{*{20}{l}}{{x^2} = 5x}&amp; \\Leftrightarrow &amp;{{x^2} &#8211; 5x = 0}\\\\{}&amp; \\Leftrightarrow &amp;{x\\left( {x &#8211; 5} \\right) = 0}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = 0}&amp; \\vee &amp;{x &#8211; 5 = 0}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = 0}&amp; \\vee &amp;{x = 5}\\end{array}}\\end{array}\\]<br \/>Portanto, o n\u00famero \u00e9 0 ou 5.<br \/><br \/><\/li>\n<li>Equacionando o problema e resolvendo a equa\u00e7\u00e3o, temos:<br \/>\\[\\begin{array}{*{20}{l}}{2{x^2} = 8}&amp; \\Leftrightarrow &amp;{{x^2} = 4}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = &#8211; 2}&amp; \\vee &amp;{x = 2}\\end{array}}\\end{array}\\]<br \/>Portanto, o n\u00famero \u00e9 -2 ou 2.<br \/><br \/><\/li>\n<li>Equacionando o problema e resolvendo a equa\u00e7\u00e3o, temos:<br \/>\\[\\begin{array}{*{20}{l}}{2{x^2} = \\frac{x}{8}}&amp; \\Leftrightarrow &amp;{16{x^2} &#8211; x = 0}\\\\{}&amp; \\Leftrightarrow &amp;{x\\left( {16x &#8211; 1} \\right) = 0}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = 0}&amp; \\vee &amp;{16x &#8211; 1 = 0}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = 0}&amp; \\vee &amp;{x = \\frac{1}{{16}}}\\end{array}}\\end{array}\\]<br \/>Portanto, o n\u00famero \u00e9 0 ou \\({\\frac{1}{{16}}}\\).<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24679' onClick='GTTabs_show(0,24679)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Qual \u00e9 o n\u00famero, tal que: o seu quadrado \u00e9 igual ao seu qu\u00edntuplo? o dobro do quadrado \u00e9 8? o dobro do seu quadrado \u00e9 igual \u00e0 sua oitava parte?&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19266,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,706,198,705],"series":[],"class_list":["post-24679","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-equacao-incompleta-do-2-o-grau","tag-lei-do-anulamento-do-produto","tag-polinomios"],"views":127,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat87.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24679","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=24679"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24679\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19266"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24679"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24679"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24679"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24679"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}