What is the answer to 2x^{-3}=54 ?

The answer to 2x^{-3}=54 is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i

Solve for x: 2x^{-3}=54

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

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2 x^{- 3} = 54

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

Solution steps

2 x^{- 3} = 54

Refine

\frac{2}{x ^{3}} = 54

Multiply both sides by

x^{3}

2 = 54 x^{3}

Solve

2 = 54 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

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

\frac{x ^{2}}{x - 1} = \frac{x ^{2} - 16}{x + 4}

r, S = \frac{1}{1 - r}

p, x = \frac{500}{p + 3}

0 = 2 x - \frac{128000}{x ^{2}}

What is the answer to 2x^{-3}=54 ?
The answer to 2x^{-3}=54 is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i
Solve for x: 2x^{-3}=54
The solution is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i