What is the answer to 5x^{2/3}-10x^{-1/3}=0 ?

The answer to 5x^{2/3}-10x^{-1/3}=0 is x=2

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5x^{2/3}-10x^{-1/3}=0

5 x^{\frac{2}{3}} - 10 x^{- \frac{1}{3}} = 0

x = 2

Solution steps

5 x^{\frac{2}{3}} - 10 x^{- \frac{1}{3}} = 0

Factor

5 x^{\frac{2}{3}} - 10 x^{- \frac{1}{3}} : \frac{5 ( x - 2 )}{x ^{\frac{1}{3}}}

Solve

\frac{5 ( x - 2 )}{x ^{\frac{1}{3}}} = 0 : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

6 x + 19 - 4 = x

4 x + 5 + 2 x - 3 = 17

6 = p - 2

3 y + 21 - y + 20 = 1

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

What is the answer to 5x^{2/3}-10x^{-1/3}=0 ?
The answer to 5x^{2/3}-10x^{-1/3}=0 is x=2
Solve for x: 5x^{2/3}-10x^{-1/3}=0
The solution is x=2