Question

solve $(z + 5)^2 = 32$. give exact answers - no decimals. use a comma to separate your two answers or use ±.
$z =
$simplify radicals as needed.
question help: video
submit question

Explanation:

Step1: Take square roots of both sides

$$\sqrt{(z+5)^2} = \pm\sqrt{32}$$

Step2: Simplify both sides

$$z+5 = \pm4\sqrt{2}$$

Step3: Isolate z by subtracting 5

$$z = -5 \pm4\sqrt{2}$$

Answer:

$z = -5 + 4\sqrt{2}, -5 - 4\sqrt{2}$