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यदि `x+1/x=-2` है तो `x^(2n+1)+1/(x^(2n+1))` का मान क्या है, जहां `n` एक धनात्मक पूर्णांक है।

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यदि `x+1/x=-2` है तो `x^(2n+1)+1/(x^(2n+1))` का मान क्या है, जहां `n` एक धनात्मक पूर्णांक है।
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Correct Answer - C
Shortcut method
`x+1/x=-2`
Let `x=-1`
`implies-1+1/(-1)=-2` (matched so `x=-1`)
Put `n=1`
`x^(2n+1)+1/(x^(2n+1))`
`impliesx^(3)+1/(x^(3))implies(-1)^(3)+1/((-1)^(3))=-2`
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