What is the answer to solvefor x,x-81x^{-3}=0 ?

The answer to solvefor x,x-81x^{-3}=0 is x=3,x=-3,x=3i,x=-3i

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solvefor x,x-81x^{-3}=0

solve for

x, x - 81 x^{- 3} = 0

x = 3, x = - 3, x = 3 i, x = - 3 i

Solution steps

x - 81 x^{- 3} = 0

Refine

x - \frac{81}{x ^{3}} = 0

Multiply both sides by

x^{3}

x^{4} - 81 = 0

Solve

x^{4} - 81 = 0 : x = 3, x = - 3, x = 3 i, x = - 3 i

x = 3, x = - 3, x = 3 i, x = - 3 i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 3, x = 3 i, x = - 3 i

8 x^{- 3} = (8 x)^{3}

\frac{6}{4 x - 1} = \frac{2}{9}

\frac{8}{x} = \frac{16}{4}

\frac{8}{6} = \frac{2}{v}

80 = \frac{( x + 300 ) x}{( x + 300 ) + x}

What is the answer to solvefor x,x-81x^{-3}=0 ?
The answer to solvefor x,x-81x^{-3}=0 is x=3,x=-3,x=3i,x=-3i