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Question

If x3−1x3=14, then x−1x=

A
2
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B
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C
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D
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Solution

The correct option is A 2

(x+(1x))3=x3+3x2(1x2)(1x3)=(x3(1x3))3(x(1x))letx(1x)=tthent3+3t14=0or(t2)(t2+2t+7)t=2


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