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

The answer to (x-2)^{2/3}-4=5 is x=29,x=-25

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

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

x = 29, x = - 25

Solution steps

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

Move

4

to the right side

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

Take both sides of the equation to the power of

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

(x - 2)^{2} = 729

Solve

(x - 2)^{2} = 729 : x = 29, x = - 25

x = 29, x = - 25

Verify Solutions:

x = 29

True

, x = - 25

True

The solutions are

x = 29, x = - 25

3 g - 2 = g

\frac{x}{2 x ^{2} + 25} - \frac{1}{3} = 0

1 + 3 x = x + 8 + 1

1 = \frac{x}{9 - x ^{2}}

What is the answer to (x-2)^{2/3}-4=5 ?
The answer to (x-2)^{2/3}-4=5 is x=29,x=-25
Solve for x: (x-2)^{2/3}-4=5
The solution is x=29,x=-25