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

The answer to x^{2/3}=(x+4)/3 is x=-1,x=8

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

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

x = - 1, x = 8

Solution steps

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

Multiply both sides by

3

x^{\frac{2}{3}} \cdot 3 = \frac{x + 4}{3} \cdot 3

Simplify

x^{\frac{2}{3}} \cdot 3 = x + 4

Take both sides of the equation to the power of

3 : 27 x^{2} = x^{3} + 12 x^{2} + 48 x + 64

27 x^{2} = x^{3} + 12 x^{2} + 48 x + 64

Solve

27 x^{2} = x^{3} + 12 x^{2} + 48 x + 64 : x = - 1, x = 8

x = - 1, x = 8

Verify Solutions:

x = - 1

True

, x = 8

True

The solutions are

x = - 1, x = 8

3 = \frac{k}{3}

x + 4 = x + 10

2 x + 1 - 3 x - 6 = 0

4 + t - - t + 6 = - 2

10 + 24 x = 13 x^{2} + 1

What is the answer to x^{2/3}=(x+4)/3 ?
The answer to x^{2/3}=(x+4)/3 is x=-1,x=8
Solve for x: x^{2/3}=(x+4)/3
The solution is x=-1,x=8