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CVM 2020
Problem 2
Problem 2
Part of
CVM 2020
Problems
(1)
2020 CVM - Problem 2
Source:
7/16/2020
Find all
(
x
,
y
,
z
)
ā
R
3
(x,y,z)\in\mathbb R^3
(
x
,
y
,
z
)
ā
R
3
such that
x
+
y
+
z
=
x
y
+
y
z
+
z
x
=
3
x+y+z=xy+yz+zx=3
x
+
y
+
z
=
x
y
+
yz
+
z
x
=
3
Proposed by Ezra Guerrero, Francisco Morazan
algebra