(x-5)^2/3=64 rational exponents

Question

Solve the equation with rational exponents

Answer 1

(x-5)^2/3=64

³√(x - 5)(x - 5) = 64

(x - 5)(x - 5) = 64(64)(64)

x^2 - 10x +25 = 262144

x^2 - 10x - 262119

x = 517, x = -507