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5
2002 KJMO integer solution
2002 KJMO integer solution
Source: 2002 KJMO
June 29, 2024
Integer
number theory
Problem Statement
Find all integer solutions to the equation
x
3
+
2
y
3
+
4
z
3
+
8
x
y
z
=
0
x^3+2y^3+4z^3+8xyz=0
x
3
+
2
y
3
+
4
z
3
+
8
x
yz
=
0
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