1.

यदि `xgt1` और `x^(2)+1/(x^(2))=83` है तो `x^(3)-1/(x^(3))=?`A. 764B. 750C. 756D. 760

Answer» Correct Answer - C
`x^(2)+1/(x^(2))=83`
Subtracting 2 from both sides
`implies x^(2)+1/(x^(2))-2=83-2`
`implies (x+1/x)^(2)=81`
`implies x-1/x=9`
Take cube on both sides
`x^(3)-1/(x^(3))-3(x-1/x)=729`
`x^(3)-1/(x^(3))-3xx9=729`
Take cube on both sides
`x^(3)-1/(x^(3))-3(x-1/x)=729`
`x^(3)-1/(x^(3))-3xx9=729`
`x^(3)-1/(x^(3))=729+27=756`


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