What is the answer to 9x^{2/3}=4 ?

The answer to 9x^{2/3}=4 is x= 8/27 ,x=-8/27

Solve for x: 9x^{2/3}=4

The solution is x= 8/27 ,x=-8/27

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9 x^{\frac{2}{3}} = 4

x = \frac{8}{27}, x = - \frac{8}{27}

Decimal Notation

x = 0.29629 \dots, x = - 0.29629 \dots

Solution steps

9 x^{\frac{2}{3}} = 4

Divide both sides by

9

x^{\frac{2}{3}} = \frac{4}{9}

Take both sides of the equation to the power of

3 : x^{2} = \frac{64}{729}

x^{2} = \frac{64}{729}

Solve

x^{2} = \frac{64}{729} : x = \frac{8}{27}, x = - \frac{8}{27}

x = \frac{8}{27}, x = - \frac{8}{27}

Verify Solutions:

x = \frac{8}{27}

True

, x = - \frac{8}{27}

True

The solutions are

x = \frac{8}{27}, x = - \frac{8}{27}

(x - 2)^{\frac{3}{2}} = 8

x + 9 = 5

x + 3 = 7

x - 2 x + 1 + 1 = 0

6 + 3 w = 2 w + 12 + 2 w