# How do you solve sqrt(x+6)=x?

May 3, 2016

Square both sides of the equation.

#### Explanation:

Square both sides of the equation.
$\left(x + 6\right) = {x}^{2}$

$\therefore {x}^{2} - x - 6 = 0$

$\left(x - 3\right) \left(x + 2\right) = 0$

$x = 3$ or $x = - 2$