# 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.

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