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2000 JBMO ShortLists
9
9
Part of
2000 JBMO ShortLists
Problems
(1)
xy+yz+zx-xyz=2 - JBMO Shortlist
Source:
10/30/2010
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
.
number theory proposed
number theory