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

The answer to (x+2)^{2/3}=4 is x=6,x=-10

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(x+2)^{2/3}=4

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

x = 6, x = - 10

Solution steps

(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 = 6, x = - 10

x = 6, x = - 10

Verify Solutions:

x = 6

True

, x = - 10

True

The solutions are

x = 6, x = - 10

x^{2} = (x)^{2}

x + 11 = x - 1

- 1 - 2 x = x

7 + x = x - 5

3 k - 29 = 41 - 2 k