Question

Solve the following quadratic equation for all values of xx in simplest form.
4, left parenthesis, x, plus, 2, right parenthesis, squared, equals, 24
4(x+2)
2
=
24

Answer 1

Solve 4(x + 2)^2 = 24.

Divide both sides by 4:
(x + 2)^2 = 6.

Take square roots (include ±):
x + 2 = ±√6.

So
x = -2 ± √6.

Answer: x = -2 + √6 or x = -2 - √6.