What is the answer to (x-1)^{2/3}=9 ?

The answer to (x-1)^{2/3}=9 is x=28,x=-26

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(x-1)^{2/3}=9

(x - 1)^{\frac{2}{3}} = 9

x = 28, x = - 26

Solution steps

(x - 1)^{\frac{2}{3}} = 9

Take both sides of the equation to the power of

3 : (x - 1)^{2} = 729

(x - 1)^{2} = 729

Solve

(x - 1)^{2} = 729 : x = 28, x = - 26

x = 28, x = - 26

Verify Solutions:

x = 28

True

, x = - 26

True

The solutions are

x = 28, x = - 26

3 x + 51 - 15 = - 9

14 - w = w - 2

x + 5 = - 10

3 x = (4 - x^{2})^{\frac{1}{2}}

2 x = 4 x + 9 - 3