MathDB
Problems
Contests
International Contests
JBMO ShortLists
2000 JBMO ShortLists
9
xy+yz+zx-xyz=2 - JBMO Shortlist
xy+yz+zx-xyz=2 - JBMO Shortlist
Source:
October 30, 2010
number theory proposed
number theory
Problem Statement
Find all the triples
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
of positive integers such that
x
y
+
y
z
+
z
x
ā
x
y
z
=
2
xy+yz+zx-xyz=2
x
y
+
yz
+
z
x
ā
x
yz
=
2
.
Back to Problems
View on AoPS