What is the answer to (x-5)^{2/3}=4 ?

The answer to (x-5)^{2/3}=4 is x=13,x=-3

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(x-5)^{2/3}=4

(x - 5)^{\frac{2}{3}} = 4

x = 13, x = - 3

Solution steps

(x - 5)^{\frac{2}{3}} = 4

Take both sides of the equation to the power of

3 : (x - 5)^{2} = 64

(x - 5)^{2} = 64

Solve

(x - 5)^{2} = 64 : x = 13, x = - 3

x = 13, x = - 3

Verify Solutions:

x = 13

True

, x = - 3

True

The solutions are

x = 13, x = - 3

n = 9

8 x + 8 = 8

r + 1 + 4 r - 3 = 5

x + 6 - 2 = x - 2

x = 7 x