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

Solution:

Given quadratic equation 3(x - 4)² = 75

The roots of a quadratic equation are the two values of x, which are obtained by solving the quadratic equation.

Quadratic equation (x - 4)² = 75/3 = 25

Apply square root on both sides

√(x - 4)² = √25

x - 4 = ±5

x = 4 ± 5 = 9, -1

Therefore the roots are 9, -1.

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

Summary:

The solutions to the quadratic equation 3(x - 4)² = 75 are 9, -1.