1.

यदि `x+1/x=5` है तो `x^(6)+1/(x^(6))=?`A. 12098B. 12048C. 14062D. 12092

Answer» Correct Answer - A
`x+1/x=5`
`:.` Take cube on both sides
`implies (x+1/x)^(3)=(5)^(3)`
`impliesx^(3)+1/(x^(3))+3xx5=125`
`implies x^(3)+1/(x^(3))=110`
`:.` Squaring both sides
`(x^(3)+1/(x^(3)))^(2)=(110)^(2)`
`impliesx^(6)+1/(x^(6))+2=12100`
`x^(6)+1/(x^(6))=12100-2=12098`


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