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

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

Solve for x: 1-1/3 x^{-2/3}=0

The solution is x= 1/(3sqrt(3)),x=-1/(3sqrt(3))

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

x = \frac{1}{3 3}, x = - \frac{1}{3 3}

Decimal Notation

x = 0.19245 \dots, x = - 0.19245 \dots

Solution steps

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

Multiply both sides by

3

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

Simplify

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

Expand

3 - x^{- \frac{2}{3}} : 3 - \frac{1}{x ^{\frac{2}{3}}}

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

Remove roots

- \frac{1}{x ^{2}} = - 27

Solve

- \frac{1}{x ^{2}} = - 27 : x = \frac{1}{3 3}, x = - \frac{1}{3 3}

x = \frac{1}{3 3}, x = - \frac{1}{3 3}

Verify Solutions:

x = \frac{1}{3 3}

True

, x = - \frac{1}{3 3}

True

The solutions are

x = \frac{1}{3 3}, x = - \frac{1}{3 3}

y, 5 x y - 2 y - 3 x = 0

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

x - 1 + x - 7 = 2 x - 3

x - 2 = x - 2

What is the answer to 1-1/3 x^{-2/3}=0 ?
The answer to 1-1/3 x^{-2/3}=0 is x= 1/(3sqrt(3)),x=-1/(3sqrt(3))
Solve for x: 1-1/3 x^{-2/3}=0
The solution is x= 1/(3sqrt(3)),x=-1/(3sqrt(3))