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

The answer to (x-2)^{2/3}+5=9 is x=10,x=-6

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

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

x = 10, x = - 6

Solution steps

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

Move

5

to the right side

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

Take both sides of the equation to the power of

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

(x - 2)^{2} = 64

Solve

(x - 2)^{2} = 64 : x = 10, x = - 6

x = 10, x = - 6

Verify Solutions:

x = 10

True

, x = - 6

True

The solutions are

x = 10, x = - 6

x^{3} - 2 x = x

4 3 x^{2} + 54 = x

y, x^{\frac{2}{3}} + y^{\frac{2}{3}} = 2

2 x + 3 = x - 1

(3 x - 5)^{\frac{1}{4}} = 2

What is the answer to (x-2)^{2/3}+5=9 ?
The answer to (x-2)^{2/3}+5=9 is x=10,x=-6
Solve for x: (x-2)^{2/3}+5=9
The solution is x=10,x=-6