Question

solving quadratic equations: square root property theo started to solve the quadratic equation ((x + 2)^2 - 9 = -5). he added 9 to both sides and the resulting equation was ((x + 2)^2 = 4). next, he took the square root of each side. which was the resulting equation of that step?
options:
(x + 2 = pm 16)
(x + 2 = pm 8)
(x + 2 = pm 4)
(x + 2 = pm 2)

Explanation:

Step1: Identify target equation

The equation to use is $(x+2)^2=4$.

Step2: Apply square root property

Take square root of both sides:
$$\sqrt{(x+2)^2} = \pm\sqrt{4}$$
Simplify both sides:
$$x+2 = \pm 2$$

Answer:

$x+2=\pm 2$