Question

solve the following quadratic equation using square roots: -9+(x-3)^2/-4 = -4

{16, -10}
{8, -2}
{2, -8}
{28, -22}

Answer 1

Interpret the expression as (-9 + (x−3)^2)/−4 = −4.

Multiply both sides by −4:
-9 + (x−3)^2 = 16

Add 9:
(x−3)^2 = 25

Take square roots:
x − 3 = ±5

So x = 3 ± 5 ⇒ x = 8 or x = −2.

Answer: {8, −2}