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Germany Contests
German National Olympiad
2019 German National Olympiad
1
1
Part of
2019 German National Olympiad
Problems
(1)
System of equations which is slightly harder than it seems
Source: Germany 2019, Problem 1
6/20/2019
Determine all real solutions
(
x
,
y
)
(x,y)
(
x
,
y
)
of the following system of equations: \begin{align*} x&=3x^2y-y^3,\\ y &= x^3-3xy^2 \end{align*}
algebra
system of equations