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