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Canada National Olympiad
1969 Canada National Olympiad
7
7
Part of
1969 Canada National Olympiad
Problems
(1)
Easy diophantine
Source:
5/14/2006
Show that there are no integers
a
,
b
,
c
a,b,c
a
,
b
,
c
for which
a
2
+
b
2
ā
8
c
=
6
a^2+b^2-8c=6
a
2
+
b
2
ā
8
c
=
6
.
quadratics
modular arithmetic
algebra
function
domain
polynomial
abstract algebra