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

Answer» Correct Answer - D
`x(3-2/x)=3/x`
`3x-2=3/x`
`3x-3x=2`
`3(x-1/x)=2`
`x-1/x=2/3`
Squaring both side
`x^(2)+1/(x^(2))-2xx x xx 1/x=4/9`
`x^(2)+1/(x^(2))=4/9+2`
`[x^(2)+1/(x^(2))=2 4/9]`
`x^(2)+1/(x^(2))=2 4/9`


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