### Home > CCA2 > Chapter 4 > Lesson 4.1.2 > Problem4-24

4-24.

Solve each of the following equations using any method. Be sure to check your solutions. 4-24 HW eTool (Desmos). Homework Help ✎.

1. $- 3 \sqrt { 2 x - 5 } + 7 = - 8$

$-3\sqrt{2\textit{x}-5}=-15$

$\sqrt{2\textit{x}-5}=5$

2x − 5 = 25

x = 15
Be sure to check your solution.

1. $2 | 3 x + 4 | - 10 = 12$

See part (a) for a possible strategy.

$2 \mid 3\textit{x} + 4 \mid = 22$

$\mid 3\textit{x} + 4 \mid = 11$

3x + 4 = ± 11

3x + 4 = 11 or 3x + 4 = −11
Be sure to check both of your solutions.

Use the eTool below to help solve the problem graphically.
Click the link at right for the full version of the eTool: CCA2 4-24 HW eTool