What is the answer to (x-7)^{2/3}=4 ?

The answer to (x-7)^{2/3}=4 is x=15,x=-1

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(x-7)^{2/3}=4

(x - 7)^{\frac{2}{3}} = 4

x = 15, x = - 1

Solution steps

(x - 7)^{\frac{2}{3}} = 4

Take both sides of the equation to the power of

3 : (x - 7)^{2} = 64

(x - 7)^{2} = 64

Solve

(x - 7)^{2} = 64 : x = 15, x = - 1

x = 15, x = - 1

Verify Solutions:

x = 15

True

, x = - 1

True

The solutions are

x = 15, x = - 1

x + 1 = 2 x - 2

x = \frac{1}{2} 1 - x + 1

4 b^{- \frac{3}{4}} + 10 = \frac{21}{2}

x + 3 = 4 x + 12

12 x - 12 - x = - 1