Question

which equation results from taking the square root of both sides of ((x - 9)^2 = 81)?
options:
(x + 3 = pm 9)
(x - 9 = pm 9)
(x + 9 = pm 9)
(x - 3 = pm 9)

Explanation:

Step1: Take square root of both sides

$$\sqrt{(x-9)^2} = \sqrt{81}$$

Step2: Simplify both sides

$$x-9 = \pm 9$$

Answer:

$x - 9 = \pm 9$