Question

Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, squared, minus, 6, right parenthesis, minus, 8, equals, 2
2(x
2
−6)−8=
2

Answer 1

Solve 2(x^2 − 6) − 8 = 2:

2x^2 − 12 − 8 = 2
2x^2 − 20 = 2
2x^2 = 22
x^2 = 11
x = ±√11

(Check: 2(11 − 6) − 8 = 10 − 8 = 2.)