1.

यदि `x=6+1/x` है तो `x^(4)+1/(x^(4))+2` का मान ज्ञात करें।A. 1448B. 1442C. 1444D. 1446

Answer» Correct Answer - C
`x=6+1/x`
`implies x=1/x=6`
Taking square on both sides
`x^(2)+1/(x^(2))-2=36`
`implies x^(2)+1/(x^(2))=38`
Again taking square on both sides
`x^(4)+1/(x^(4))+2=(38)^(2)`
`implies x^(4)+1/(x^(4))+2=1444`
`x^(4)+1/(x^(4)+2)=1444`


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