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

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

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

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

Simplify

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

Switch sides

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

Move

1

to the right side

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

Divide both sides by

3

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

Take both sides of the equation to the power of

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

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

Solve

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

x + 5 + 1 = 3

24 - 3 x = x - 8

3 x + 105 + 6 = 15

8 x + 36 + 18 = 20

x + 3 + x = 5

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