MathDB
Problems
Contests
International Contests
Baltic Way
2021 Baltic Way
5
5
Part of
2021 Baltic Way
Problems
(1)
x+y from symmetric system
Source: Baltic Way 2021, Problem 5
11/15/2021
Let
x
,
y
∈
R
x,y\in\mathbb{R}
x
,
y
∈
R
be such that
x
=
y
(
3
−
y
)
2
x = y(3-y)^2
x
=
y
(
3
−
y
)
2
and
y
=
x
(
3
−
x
)
2
y = x(3-x)^2
y
=
x
(
3
−
x
)
2
. Find all possible values of
x
+
y
x+y
x
+
y
.
algebra
algebra proposed
system of equations