1.

`(x^(2)+x+1)/(x^(2)+x+1)=3/2` है `(x+1/x)` का मान क्‍या है?A. 5B. `-5`C. 6D. 8

Answer» Correct Answer - B
`(x^(2)-x+1)/(x^(2)+x+1)=3/2` (Given)
`implies({(x+1/x)-1})/(x{(x+1/x)+1})=3/2`
Let `(x=1/x=y)`
`implies ((x+1/x)-1)/((x+1/x)+1)=3/2`
`(y-1)/(y+1)=3/2`
`implies 2(y-1)=3(y+1)`
`2y-2=3y+3`
`y=-2-3=-5`
`:.x+1/x=-5`


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