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Baltic Way
2021 Baltic Way
5
x+y from symmetric system
x+y from symmetric system
Source: Baltic Way 2021, Problem 5
November 15, 2021
algebra
algebra proposed
system of equations
Problem Statement
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
.
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