### Home > PC3 > Chapter 10 > Lesson 10.2.3 > Problem10-149

10-149.

Solve each of the following equations.

1. $\sqrt { 2 g + 1 }= 7 − g$

$\sqrt{2g+1}^2=(7-g)^2$

$2g+1=49-14g+g^2$

1. $| z + 3 | = | 2 z - 1 |$

Since both side of the equation have absolute value signs, both quantities could be positive or negative and the equation would still be true.

$z + 3 = 2z − 1$   or   $−(z + 3) = 2z − 1$