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

Divide both sides of 3(x − 4)² = 75 by 3 to get (x − 4)² = 25. Taking square roots gives x − 4 = 5 or x − 4 = −5, so x = 9 or x = −1. The correct choice is D, x = −1 and x = 9.

AI-written and checked against the verified answer.