What is the answer to 4/(x^{1/3)}-2=0 ?

The answer to 4/(x^{1/3)}-2=0 is x=8

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4/(x^{1/3)}-2=0

\frac{4}{x ^{\frac{1}{3}}} - 2 = 0

x = 8

Solution steps

\frac{4}{x ^{\frac{1}{3}}} - 2 = 0

Multiply both sides by

x^{\frac{1}{3}}

\frac{4}{x ^{\frac{1}{3}}} x^{\frac{1}{3}} - 2 x^{\frac{1}{3}} = 0 \cdot x^{\frac{1}{3}}

Simplify

4 - 2 x^{\frac{1}{3}} = 0

Move

4

to the right side

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

Divide both sides by

- 2

x^{\frac{1}{3}} = 2

Take both sides of the equation to the power of

3 : x = 8

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

x + 1 - x - 1 = 1

x + 7 = x + 1

x - 5 = x + 4

x + x - 24 = 4

x^{\frac{4}{3}} = 625