Question

como resolver a equaçao irracional 9+ raiz de x+2 = x

Answer 1

Olá,

$9+\sqrt{x+2}=x$
$\sqrt{x+2}=x-9$
$x+2=(x-9)^{2}$
$x+2=x^{2}-18x+81$
$x^{2}-19x+79=0$
$\begin{cases}x=\frac{19}{2}+\frac{3\sqrt{5}}{2}\\x=\frac{19}{2}-\frac{3\sqrt{5}}{2}\end{cases}$

Bons estudos!