Question

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

{−2,−10}


{10,−22}


​ {−0.34,−11.66}


{−1.17,−6.83}

Answer 1

((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}