MathDB
Problems
Contests
National and Regional Contests
Germany Contests
German National Olympiad
1997 German National Olympiad
1
no perfect squares a,b,c such that ab-bc = a
no perfect squares a,b,c such that ab-bc = a
Source: Germany 1997 p1
February 22, 2020
Perfect Square
number theory
Problem Statement
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
.
Back to Problems
View on AoPS