### Home > A2C > Chapter 12 > Lesson 12.1.3 > Problem12-54

12-54.

Solve $\sqrt { x + 18 } + 2 = x$ and check for extraneous solutions.

Get the radical by itself and square both sides.

$x + 18 = x^{2} + 4x + 4$

Solve by factoring or using the quadratic formula. Remember to check your answers with the original equation.