### Home > A2C > Chapter 11 > Lesson 11.3.2 > Problem11-149

11-149.

Solve and check each equation.

1. $\sqrt { x + 20 } = x$

Square each side.
Set the equation equal to zero
Factor the equation.

$x + 20 = x^{2}\\0 = x^{2} − x − 20$

$x = 5$

1. $\sqrt { x - 2 } - \sqrt { 2 x + 3 } = - 2$

$\sqrt{x-2}+2=\sqrt{2x+3}$

$x-2+2\sqrt{x-2}+4=2x+3$

Here is the start of the process.
Complete the rest and check all possible answers.

$x = 3 x = 11$