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Flanders Math Olympiad
1994 Flanders Math Olympiad
2
2
Part of
1994 Flanders Math Olympiad
Problems
(1)
not my favorite (algebra + number theory)
Source: flanders '94
8/9/2004
Determine all integer solutions (a,b,c) with
c
≤
94
c\leq 94
c
≤
94
for which:
(
a
+
c
)
2
+
(
b
+
c
)
2
=
60
+
20
c
(a+\sqrt c)^2+(b+\sqrt c)^2 = 60 + 20\sqrt c
(
a
+
c
)
2
+
(
b
+
c
)
2
=
60
+
20
c
algebra solved
algebra