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Tournament Of Towns
1997 Tournament Of Towns
(537) 2
(537) 2
Part of
1997 Tournament Of Towns
Problems
(1)
TOT 537 1997 Spring S O2 a=b if ab | (a^2 + b^2)
Source:
9/11/2024
Let
a
a
a
and
b
b
b
be positive integers. If
a
2
+
b
2
a^2 + b^2
a
2
+
b
2
is divisible by
a
b
ab
ab
, prove that
a
=
b
a = b
a
=
b
. (BR Frenkin)
number theory
divisible
divides