Question

Solve the following quadratic equation for all values of xx in simplest form.
4, left parenthesis, x, minus, 6, right parenthesis, squared, equals, 36
4(x−6)
2
=
36

Answer 1

Start with 4(x − 6)^2 = 36. Divide both sides by 4:

(x − 6)^2 = 9.

Take square roots:

x − 6 = ±3.

So x = 6 ± 3, giving x = 9 or x = 3.