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Moldova Contests
Moldova National Olympiad
2007 Moldova National Olympiad
8.4
equation 4
equation 4
Source:
November 8, 2010
number theory
number theory unsolved
Problem Statement
Solve in equation:
x
2
+
y
2
+
z
2
+
w
2
=
3
(
x
+
y
+
z
+
w
)
x^2+y^2+z^2+w^2=3(x+y+z+w)
x
2
+
y
2
+
z
2
+
w
2
=
3
(
x
+
y
+
z
+
w
)
where
x
,
y
,
z
,
w
x,y,z,w
x
,
y
,
z
,
w
are positive integers.
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