What is the answer to x^4+1/(x^4)=47 ?

The answer to x^4+1/(x^4)=47 is

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x^4+1/(x^4)=47

x^{4} + \frac{1}{x ^{4}} = 47

Solution steps

x^{4} + \frac{1}{x ^{4}} = 47

Multiply both sides by

x^{4}

x^{8} + 1 = 47 x^{4}

Solve

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

x^{- 2} - 5 x^{- 1} - 6 = 0

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

41 y^{- 4} - 58 y^{- 2} + 1 = 0

- \frac{x}{2 x - 3} = \frac{2}{5 x + 3}