We have, x^4+1x^4 We know that (x^2+1x^2)^2=x^4+1x^4+2 x^4+1x^4=(x^2+1x^2)^2 2 Hence, this is the answer. ...

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Discriminant

Solve: x4+1x...

Question

Solve:
$x^{4} + \frac{1}{x^{4}}$

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Solution

We have,
$x^{4} + \frac{1}{x^{4}}$

We know that
${(x^{2} + \frac{1}{x^{2}})}^{2} = x^{4} + \frac{1}{x^{4}} + 2$
$x^{4} + \frac{1}{x^{4}} = {(x^{2} + \frac{1}{x^{2}})}^{2} - 2$

Hence, this is the answer.

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