Question

Solve the following quadratic equation for all values of xx in simplest form.
5, left parenthesis, x, minus, 5, right parenthesis, squared, minus, 33, equals, minus, 28
5(x−5)
2
−33=
−28

Answer 1

Solve 5(x − 5)^2 − 33 = −28.

Add 33 to both sides:
5(x − 5)^2 = 5

Divide by 5:
(x − 5)^2 = 1

Take square roots:
x − 5 = ±1

Thus x = 5 ± 1, so x = 6 or x = 4.