Question

Use the quadratic formula to solve the following quadratic equation:

−4x2+16x−4=8


(1 point)
Responses

x=1, x=3

x=1, x=3


x=−1, x=−3

x=−1, x=−3


x=−0.24, x=4.24

x=−0.24, x=4.24


x=−4.24, x=0.24

Answer 1

First put in standard form: −4x^2+16x−4−8=0 → −4x^2+16x−12=0.

Use quadratic formula with a=−4, b=16, c=−12:
x = [−b ± √(b^2−4ac)]/(2a) = [−16 ± √(256 − 192)]/(−8) = [−16 ± 8]/(−8).

So x = (−16+8)/(−8) = 1 or x = (−16−8)/(−8) = 3.

Answer: x = 1, x = 3.