What are the solutions to the quadratic equation 3(x − 4)2 = 75?

x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9

If you would like to know the solutions to the quadratic equation, you can find this using the following steps:

3 * (x - 4)^2 = 75
3 * (x^2 - 8x + 16) = 75     /3
x^2 - 8x + 16 = 25
x^2 - 8x + 16 - 25 = 0
x^2 - 8x - 9 = 0
(x - 9) * (x + 1) = 0
1. x = 9
2. x = -1

The correct result would be x = −1 and x = 9.