1.

यदि `x/(x^(2)-2x+1)=1/3` है तो `x^(3)+1/(x^(3))` का मान ज्ञात करें।A. 64B. 110C. 81D. 124

Answer» Correct Answer - B
`x/(x^(2)-2x+1)=1/3`
`implies 1/((x^(2))/x-(2x)/x+1/x)=1/3`
`implies 1/(x+1/x-2)=1/3`
`x+1/x-2=3`
`implies x+1/x=3+2=5`
Take cube on both sides
`implies (x+1/x)^(3)=(5)^(3)`
`implies x^(3)+1/(x^(3))+3xx5=125`
`implies x^(3)+1/(x^(3)=110`


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