Question

qual é o conjunto solução da equação​

Answer 1

$\large\boxed{\begin{array}{l}\sf 4-x=\sqrt{x+2}\\\sf(4-x)^2=(\sqrt{x+2})^2\\\sf 16-8x+x^2=x+2\\\sf x^2-x-8x+16-2=0\\\sf x^2-9x+14=0\\\sf x^2-(7+2)x+7\cdot2=0\\\sf (x-7)\cdot(x-2)=0\\\sf x-7=0\implies x=7\\\sf x-2=0\implies x=2\\\underline{\rm verificac_{\!\!,}\tilde ao\!:}\\\sf para~x=2:\\\sf 4-2=2\\\sf \sqrt{2+2}=\sqrt{4}=2\\\sf x=2\,\acute e\,ra\acute iz.\\\sf s=\{2\}\end{array}}$