Question

Solve the following quadratic equation using square roots: −9+(x−3)2−4=−4
.(1 point)
Responses

{8,−2}
left brace 8 comma negative 2 right brace

{28,−22}
left brace 28 comma negative 22 right brace

{2,−8}
left brace 2 comma negative 8 right brace

{16,−10}

Answer 1

Solve: -9 + (x − 3)^2 − 4 = −4

Combine constants: (x − 3)^2 − 13 = −4
So (x − 3)^2 = 9

Take square roots: x − 3 = ±3
Thus x = 3 ± 3 → x = 6 or x = 0

Both satisfy the equation, so the solution set is {6, 0}. None of the provided answer choices match.