Question

1) resolva as equação irracionais em IR

Answer 1

$\Large\boxed{\begin{array}{l}\tt a)~\sf\sqrt{x+1}=7\\\sf(\sqrt{x+1})^2=7^2\\\sf x+1=49\\\sf x=49-1\\\sf x=48\\\underline{\rm verificac_{\!\!,}\tilde ao\!:}\\\sf \sqrt{48+1}=7\\\sf \sqrt{49}=7\\\sf 7=7\longrightarrow\, 48\,\acute e\,ra\acute iz\\\sf S=\{48\}\end{array}}$

$\Large\boxed{\begin{array}{l}\tt b)~\sf\sqrt{7+x}=3\\\sf (\sqrt{7+x})^2=3^2\\\sf 7+x=9\\\sf x=9-7\\\sf x=2\\\underline{\rm verificac_{\!\!,}\tilde ao\!:}\\\sf \sqrt{7+2}=3\\\sf\sqrt{9}=3\\\sf 3=3\longrightarrow 2\,\acute e\,ra\acute iz.\\\sf S=\{2\}\end{array}}$