Question

Solve the following quadratic equation using square roots: (x+6)^2/2=8
.(1 point)
Responses

{10,−22}

left brace 10 comma negative 22 right brace

{−2,−10}

left brace negative 2 comma negative 10 right brace

​ {−0.34,−11.66}

​ left brace negative 0.34 comma negative 11.66 right brace

{−1.17,−6.83}

Answer 1

Solve (x+6)^2 / 2 = 8.

Multiply both sides by 2: (x+6)^2 = 16
Take square roots: x+6 = ±4
So x = -6 ± 4 → x = -2 or x = -10.

Answer: {−2, −10}