What is the answer to x^3+x^{-3}=18,x+1/x ?

The answer to x^3+x^{-3}=18,x+1/x is

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x^3+x^{-3}=18,x+1/x

x^{3} + x^{- 3} = 18, x + \frac{1}{x}

Solution steps

x^{3} + x^{- 3} = 18

Refine

x^{3} + \frac{1}{x ^{3}} = 18

Multiply both sides by

x^{3}

x^{6} + 1 = 18 x^{3}

Solve

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

0 = \frac{1}{1 + x ^{2}}

\frac{x}{2} = \frac{4 x + 3}{3 x + 1}

\frac{- 30}{x} = - 1.5

\frac{r ^{2} + 5 r + 6}{r + 3} = 1

\frac{t ^{2} + 1}{t ^{2} + 2 t - 1} = 0

What is the answer to x^3+x^{-3}=18,x+1/x ?
The answer to x^3+x^{-3}=18,x+1/x is
Solve for x: x^3+x^{-3}=18,x+1/x
The solution is