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

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

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

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

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

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

Decimal Notation

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

Solution steps

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

Multiply both sides by

3

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

Simplify

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

Expand

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

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

Remove roots

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

Solve

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

4 x - 3 - x - 2 = 3 x - 5

\frac{1}{x} + 6 = \frac{5}{x}

x - 6 = x - 3

2 x - 6 x + 2 + 1 = 0

x - 5 = 2 x - 6 - 2

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