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Algebra of Derivatives

If x+1 / x=2,...

Question

If x+(1/x) = 2, then the value of x $^{4}$ +(1/x $^{4}$ ) =

A

2

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B

0

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C

4

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D

6

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E

None of these

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Solution

The correct option is A
2

Squaring twice, we get $x^{4} + \frac{1}{x^{4}}$ + 2 = 4

$⟹$ $x^{4} + \frac{1}{x^{4}} = 2$

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