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