Question

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

{−2,−10}
left brace negative 2 comma negative 10 right brace

{−1.17,−6.83}
left brace negative 1.17 comma negative 6.83 right brace

{10,−22}
left brace 10 comma negative 22 right brace

​ {−0.34,−11.66}

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, giving x = -2 or x = -10.

Answer: {−2, −10}.