\nSe supomos que
\n[tex]\\qquad \\boxed{x = \\sqrt{19} + \\dfrac{91}{x}}[\/tex],
\nsegue, por um processo de substitui\u00e7\u00e3o em cascata, que:
\n[tex]\\qquad x = \\sqrt{19} + \\dfrac{91}{\\color{red}x}=\\sqrt{19} + \\dfrac{91}{\\color{red}\\sqrt{19}+\\dfrac{91}{x}}[\/tex]<\/p>\n
\n
[tex]\\qquad \\quad =\\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{blue}x}}= \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{blue}\\sqrt{19}+\\dfrac{91}{x}}}[\/tex]<\/p>\n
\n
[tex]\\qquad \\quad = \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{green}x}}}= \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{green}\\sqrt{19}+\\dfrac{91}{x}}}}[\/tex]<\/p>\n
\n
[tex]\\qquad \\quad = \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{#0080Ff}x}}}}= \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{#0080Ff}\\sqrt{19}+\\dfrac{91}{x}}}}}[\/tex]
\n(Em cada passagem, substitu\u00edmos [tex]x[\/tex] pela express\u00e3o [tex]\\sqrt{19} + \\dfrac{91}{x}[\/tex].)<\/span><\/p>\n\n
E assim, [tex]x = \\boxed{ \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{x}}}}}}[\/tex].\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"
Se supomos que [tex]\\qquad \\boxed{x = \\sqrt{19} + \\dfrac{91}{x}}[\/tex], segue, por um processo de substitui\u00e7\u00e3o em cascata, que: [tex]\\qquad x = \\sqrt{19} + \\dfrac{91}{\\color{red}x}=\\sqrt{19} + \\dfrac{91}{\\color{red}\\sqrt{19}+\\dfrac{91}{x}}[\/tex] [tex]\\qquad \\quad =\\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{blue}x}}= \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{blue}\\sqrt{19}+\\dfrac{91}{x}}}[\/tex] [tex]\\qquad \\quad = \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{green}x}}}= \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{green}\\sqrt{19}+\\dfrac{91}{x}}}}[\/tex] [tex]\\qquad \\quad = \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{#0080Ff}x}}}}= \\sqrt{19} + \\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\sqrt{19}+\\dfrac{91}{\\color{#0080Ff}\\sqrt{19}+\\dfrac{91}{x}}}}}[\/tex] (Em cada … <\/p>\n
Continue lendo<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-onecolumn.php","meta":{"footnotes":""},"class_list":["post-81611","page","type-page","status-publish","hentry","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/81611","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=81611"}],"version-history":[{"count":17,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/81611\/revisions"}],"predecessor-version":[{"id":81621,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/81611\/revisions\/81621"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=81611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}