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Poland - Second Round
1967 Poland - Second Round
4
xy+yz+zx = xyz + 2 diophantine
xy+yz+zx = xyz + 2 diophantine
Source: Polish MO second round 1967 p4
August 28, 2024
diophantine
Diophantine equation
number theory
Problem Statement
Solve the equation in natural numbers
x
y
+
y
z
+
z
x
=
x
y
z
+
2.
xy+yz+zx = xyz + 2.
x
y
+
yz
+
z
x
=
x
yz
+
2.
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