1.

यदि `x+1/x=sqrt(3)` हो तो `x^(15)+x^(12)+x^(6)+1` का मान बताइए?

Answer» Correct Answer - A
`x+1/x=sqrt(3)`
`x^(3)+1/(x^(3))=(x+1/x)^(3)-3(x+1/x)`
`=3sqrt(3)-3sqrt(3)=0`
`x^(3)+1/(x^(3))=0`
`x^(6)+1=0`
`x^(18)+x^(12)+x^(6)+1`
`x(x^(6)+1)+(x^(6)+1)`
`x^(12)xx0+0=0`


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