What is the answer to (x-5)^{2/3}=9 ?

The answer to (x-5)^{2/3}=9 is x=32,x=-22

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(x-5)^{2/3}=9

(x - 5)^{\frac{2}{3}} = 9

x = 32, x = - 22

Solution steps

(x - 5)^{\frac{2}{3}} = 9

Take both sides of the equation to the power of

3 : (x - 5)^{2} = 729

(x - 5)^{2} = 729

Solve

(x - 5)^{2} = 729 : x = 32, x = - 22

x = 32, x = - 22

Verify Solutions:

x = 32

True

, x = - 22

True

The solutions are

x = 32, x = - 22

n = - 24 + 11 n

x - 10 x + 21 = 0

x + 11 = 15

2 + x = 4 + x^{2}

x^{2} - x - 8 = x + 3