### Home > A2C > Chapter 7 > Lesson 7.3.1 > Problem7-162

7-162.

Solve $\sqrt { 3 x + 1 } - x = - 3$ and check your solution.

1. You should have gotten two values for $x$ when you solved. Did you? If not, rework the problem.

Add $x$to both sides. Then square both sides.
You will need to use the Distributive Property.

Set the equation equal to 0. You will need to factor or use the Quadratic Formula to solve.

$x = 1 \text{ or } x = 8$

2. Did you check both solutions? What happened?

One of the two solutions is extraneous (does not check)