RMO 2015!! #5
Algebra
Level
5
If \(x,y\) are non-zero numbers with \(x^2 + xy + y^2 = 0\). Find :
\[ \left( \frac{x}{ x+y } \right)^{2001} + \left( \frac{y}{x+y}\right) ^ { 2001}. \]
by
Dev Sharma