### Home > A2C > Chapter 13 > Lesson 13.1.3 > Problem13-48

13-48.

Solve each equation. Check for extraneous solutions.

1. $\sqrt { x + 7 } = x + 1$

Square both sides, simplify and factor. Check your answers.

$x = 2$

1. $\frac { 2 } { x + 3 } - \frac { 1 } { x } = \frac { - 6 } { x ^ { 2 } + 3 x }$

Multiply both sides by $x\left(x + 3\right)$. This removes the denominators.