What is the answer to 5x^{-3}=135 ?

The answer to 5x^{-3}=135 is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i

Solve for x: 5x^{-3}=135

The solution is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i

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5 x^{- 3} = 135

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

Solution steps

5 x^{- 3} = 135

Refine

\frac{5}{x ^{3}} = 135

Multiply both sides by

x^{3}

5 = 135 x^{3}

Solve

5 = 135 x^{3} : x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

9 - \frac{6 x}{x + 4} = - \frac{3}{x + 4}

6 - \frac{3 x}{x - 9} = - \frac{6}{x - 9}

\frac{2}{x} - \frac{3 x}{x + 3} = \frac{x}{x + 3}

- \frac{2}{x} - 1 = - \frac{4 x}{x + 2}

\frac{x}{x + 6} - 3 = - \frac{6}{x + 6}

What is the answer to 5x^{-3}=135 ?
The answer to 5x^{-3}=135 is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i
Solve for x: 5x^{-3}=135
The solution is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i