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x/y + y/x = -1 find …

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x/y + y/x = -1 find x³+ y³

Posted by Varun Jindal 9 years, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Manish Gandhi 9 years ago

Given: x/y + y/x = 1

Solution: take L.C.M which will provide (x² + y²) $/$ (xy) = 1

x² + y²= xy

x² + y²- xy = 0

Now, we know that x³+ y³= (x + y) (x² + y²- xy)

means, x³+ y³= (x + y) $\times$ 0 = 0 (Answer)

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