1.

यदि `x+1/x=3`, यहां `x!=0` है तो `(x^(4)+3x^(3)+5x^(2)+3x+1)/(x^(4)+1)` का मान क्या होगा?A. 3B. 5C. 7D. 2

Answer» Correct Answer - A
`x+1/x=3`
`x^(2)+1=3x`………….i
`(x^(2)+1)^(2)=9x^(2)`
`x^(4)+1+2x^(2)=9x^(2)`
`x^(4)+1=7x^(2)` ………….ii
`:. (x^(4)+3x^(3)+5x^(2)+3x+1)/(x^(4)+1`
`(12x^(2)+3x^(3)+3x)/(7x^(2))`
From equation i
`implies (12x+3(x^(2)+1))/(7x)`
`=(12x+3xx3x)/(7x)`
`implies (21x)/(7x)`
`=3`


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