Question

Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, plus, 3, right parenthesis, squared, equals, 2
2(x+3)
2
=
2

Answer 1

Solve 2(x + 3)^2 = 2.

Divide both sides by 2:
(x + 3)^2 = 1.

Take square roots:
x + 3 = ±1.

So x = -3 ± 1, giving x = -2 or x = -4.

Answer: x = -2, -4.