Question

Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, plus, 6, right parenthesis, squared, equals, 18
2(x+6)
2
=
18

Answer 1

Solve 2(x + 6)^2 = 18.

Divide both sides by 2:
(x + 6)^2 = 9

Take square roots:
x + 6 = ±3

So
x = -6 ± 3 → x = -3 or x = -9.

Check: 2(-3+6)^2 = 2·9 = 18 and 2(-9+6)^2 = 2·9 = 18.