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k0ka [10]
3 years ago
10

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

Mathematics
2 answers:
BigorU [14]3 years ago
8 0

\dfrac{x}{y}+\dfrac{y}{x}=-1|\cdot xy\\\\ x^2+y^2=-xy\\\\ x^2+xy+y^2=0\\\\ \boxed{x^3-y^3=(x+y)(x^2+xy+y^2)}\\ \Downarrow\\ x^3-y^3=(x+y)\cdot 0\\\\ \boxed{\boxed{x^3-y^3=0}}

Maurinko [17]3 years ago
3 0

Take your original equation \frac{x}{y} +\frac{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

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