MathDB

1

Part of 2004 German National Olympiad

Problems(1)

Symmetric system of equations

Source: Germany 2004 - Problem 1

12/17/2022
Find all real numbers x,yx,y satisfying the following system of equations \begin{align*} x^4 +y^4 & =17(x+y)^2 \\ xy & =2(x+y). \end{align*}
algebrasystem of equationsRealequation