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Korea National Olympiad
1996 Korea National Olympiad
5
Famous ID from Korea
Famous ID from Korea
Source: 1996 Korea National Olympiad #5
March 22, 2018
Infinite Descent
number theory
Problem Statement
Find all integer solution triple
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
such that
x
2
+
y
2
+
z
2
ā
2
x
y
z
=
0.
x^2+y^2+z^2-2xyz=0.
x
2
+
y
2
+
z
2
ā
2
x
yz
=
0.
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