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यदि `x(3-2/x)=3/x` है तो `x^(2)+1/(x^(2))` का मान क्या होगा?A. `2 1/9`B. `2 4/9`C. `3 1/9`D. `3 4/9`

Answer» Correct Answer - B
`x(3-2/x)=3/x`
`implies 3x-2=3/x`
`implies 3x-3/x=2`
`implies 3(x-1/x)=2`
`implies x-1/x=2/3`
Squaring both sides
`implies x^(2)+1/(x^(2))-2=4/9`
`implies x^(2)1/(x^(2))=4/9+2=2 4/9`


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