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2015 China Northern MO
1
1
Part of
2015 China Northern MO
Problems
(1)
xyz/w + yzw/x + zwx/y + wxy/z = 4, diophantine
Source: China Northern MO 2015 grade 10 p1 CNMO
5/5/2024
Find all integer solutions to the equation
x
y
z
w
+
y
z
w
x
+
z
w
x
y
+
w
x
y
z
=
4
\frac{xyz}{w}+\frac{yzw}{x}+\frac{zwx}{y}+\frac{wxy}{z}=4
w
x
yz
+
x
yz
w
+
y
z
w
x
+
z
w
x
y
=
4
number theory
Diophantine equation
diophantine