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यदि `x=1/x=3` है तो `(x^(3)+1/x)/(x^(2)-x+1)` का मान क्या होगा?A. `3/2`B. `5/2`C. `7/2`D. `11/2`

Answer» Correct Answer - C
`x+1/x=3` (Given)
`(x^(3)+1/x)/(x^(2)-x+1)` (divide by `x`)
`((x^(3))/x+1/(x^(2)))/((x^(2))/x-x/x+1/x)=(x^(2)+1/(x^(2)))/(x-1+1/x)`
`=(x^(2)+1/(x^(2)))/(x+1/x-1)`
`:. x+1/x=3`
`:. x^(2)+1/(x^(2))=9-2=7`
`:. (x^(2)+1/(x^(2)))/(x+1/x-1)=7/(3-7)=7/2`


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