Question

If x/y + y/x = -1 , ( x unequal y, y unequal 0) then the value of x^2 - y^2 is?

Answer 1

`image`

Answer 2

Take your original equation
`(x)/(y) +(y)/(x) =-1`

and multiply both sides by
`xy` to remove the fractions. You are left with

`x^2+y^2=-xy`

So,
`x^2+y^2=-xy`

Update: There is no numerical answer that can be found without being given a value for either x or y