1.

यदि `x^(2)-3x+1=0` है तो `(x^(6)+x^(4)+x^(2)+1)/(x^(3))` का मान क्या होगा?A. 18B. 15C. 21D. 30

Answer» Correct Answer - C
`x^(2)-3x+1=0`
`implies x^(2)+1=3x`
`x+1/x=3`
`implies x^(3)+1/(x^(3))+3xx3=27`
`x^(3)+1/(x^(3))=18`
`implies (x^(6)+x^(4)+x^(2)+1)/(x^(3))`
`implies (x^(6))/(x^(3))+(x^(4))/(x^(3))+(x^(2))/(x^(3))+1/(x^(3))`
`implies x^(3)+1/(x^(3))+1/x+x`
`implies 18+3=21`


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