What is the answer to (x-4)^{2/3}=4 ?

The answer to (x-4)^{2/3}=4 is x=12,x=-4

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(x-4)^{2/3}=4

(x - 4)^{\frac{2}{3}} = 4

x = 12, x = - 4

Solution steps

(x - 4)^{\frac{2}{3}} = 4

Take both sides of the equation to the power of

3 : (x - 4)^{2} = 64

(x - 4)^{2} = 64

Solve

(x - 4)^{2} = 64 : x = 12, x = - 4

x = 12, x = - 4

Verify Solutions:

x = 12

True

, x = - 4

True

The solutions are

x = 12, x = - 4

x + 5 - x = 1

x^{2} + 25 = x + 5

(x + 4)^{\frac{1}{2}} = 6

x + 15 = x + 3

y = 36 - y^{2}, 0 \leq y \leq 3