If x + 1/x = 5, then x^6 + 1/(x^6) is...

If `x + 1/x = 5`, then `x^6 + 1/(x^6)` is

A

12098

B

12048

C

14062

D

12092

Text Solution

Verified by Experts

The correct Answer is:

A

` x + 1/x = 5`
`x^6 + 1/x^6= (5)^6 - 6(5)^4 + 9(5)^2 - 2`
= 15625 - 3750 + 225 - 2
= 12098

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