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

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

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

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

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135 = 5 x^{- 3}

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

Solution steps

135 = 5 x^{- 3}

Refine

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

Multiply both sides by

x^{3}

135 x^{3} = 5

Solve

135 x^{3} = 5 : 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

x + \frac{6}{x} = 7

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

0 = 6 x^{2} - \frac{2}{x ^{2}} + \frac{13}{2}

\frac{4 x ^{2} - 3 x + 5}{x ^{2} - 2 x + 13} = 2

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

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