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Germany Contests
German National Olympiad
1997 German National Olympiad
1
1
Part of
1997 German National Olympiad
Problems
(1)
no perfect squares a,b,c such that ab-bc = a
Source: Germany 1997 p1
2/22/2020
Prove that there are no perfect squares
a
,
b
,
c
a,b,c
a
,
b
,
c
such that
a
b
ā
b
c
=
a
ab-bc = a
ab
ā
b
c
=
a
.
Perfect Square
number theory