1.

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)`

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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