{"id":24652,"date":"2023-04-01T15:46:47","date_gmt":"2023-04-01T14:46:47","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24652"},"modified":"2023-04-01T18:09:58","modified_gmt":"2023-04-01T17:09:58","slug":"qual-e-esse-numero","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24652","title":{"rendered":"Qual \u00e9 esse n\u00famero?"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24652' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24652' class='GTTabs_curr'><a  id=\"24652_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24652' ><a  id=\"24652_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_24652'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Se ao quadrado de um n\u00famero lhe tiras o seu dobro, obt\u00e9ns o seu qu\u00edntuplo.<br \/>Qual \u00e9 esse n\u00famero?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24652' onClick='GTTabs_show(1,24652)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24652'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Se ao quadrado de um n\u00famero lhe tiras o seu dobro, obt\u00e9ns o seu qu\u00edntuplo.<br \/>Qual \u00e9 esse n\u00famero?<\/p>\n<\/blockquote>\n<p>Designemos esse n\u00famero por \\(x\\).<br \/>Ent\u00e3o, podemos designar:<\/p>\n<ul style=\"list-style-type: square;\">\n<li>o quadrado do n\u00famero: \\({x^2}\\)<\/li>\n<li>o seu (do n\u00famero) dobro : \\(2x\\)<\/li>\n<li>o seu (do n\u00famero) qu\u00edntuplo: \\(5x\\)<\/li>\n<\/ul>\n<p>Equacionando o problema e resolvendo a equa\u00e7\u00e3o correspondente, temos:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{x^2} &#8211; 2x = 5x}&amp; \\Leftrightarrow &amp;{{x^2} &#8211; 2x &#8211; 5x = 0}\\\\{}&amp; \\Leftrightarrow &amp;{x\\left( {x &#8211; 7} \\right) = 0}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = 0}&amp; \\vee &amp;{x &#8211; 7 = 0}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = 0}&amp; \\vee &amp;{x = 7}\\end{array}}\\end{array}\\]<\/p>\n<p>Portanto, o n\u00famero considerado \u00e9 \\(0\\) ou \\(7\\).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24652' onClick='GTTabs_show(0,24652)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Se ao quadrado de um n\u00famero lhe tiras o seu dobro, obt\u00e9ns o seu qu\u00edntuplo.Qual \u00e9 esse n\u00famero? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14085,"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-24652","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":83,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat30.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24652","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=24652"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24652\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14085"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24652"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24652"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24652"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24652"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}