Math, asked by dileepkumarhappy, 5 months ago

यदि x/y +y/x = -1, (x=not 0 ​

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Answered by DibyenduChakraborty
1

x/y + y/x = -1

or, (x²+y²)/xy = -1

or, x²+y² = -xy

or, x²+y²+xy = 0.

or, (x² + xy + y²) = 0.

now,

x³-y³

= (x-y) (x²+xy+y²)

= 0. [ as (x²+xy+y²) = 0. ]

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