Question

If y=x-1/x+3 then x=?​

Answer 1

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Given,

x/y + y/x=1

Now,

(x² + y²)/xy=1

=> x² + y²= xy

=> x² + y² — xy=0

=> (x+y)(x² — xy + y²)=0(x+y)

Now, (x + y)(x² — xy + x²)=x³ + y³

=> x³ + y³= 0

Hence,

x³ + y³=0