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यदि `x-1/x=4` है तो `(x+1/x)` किसके बराबर है?A. `5sqrt(2)`B. `2sqrt(5)`C. `4sqrt(2)`D. `4sqrt(5)` |
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Answer» Correct Answer - B `x-1/x=4` `x^(2)=1/(x^(2))-2=16` (On Squaring) `impliesx^(3)+1/(x^(2))=18` `x^(2)+1/(x^(2))+2-2=18` `x^(2)+1/(x^(2))+2=20` `(x+1/x)^(2)=20` `x+1/x=sqrt(20)=2sqrt(5)` |
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