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Regional Mathematical Olympiad
2015 India Regional MathematicaI Olympiad
3
Question 3
Question 3
Source:
December 6, 2015
Problem Statement
Find all integers
a
,
b
,
c
a,b,c
a
,
b
,
c
such that
a
2
=
b
c
+
1
a^2 = bc + 1
a
2
=
b
c
+
1
and
b
2
=
a
c
+
1
b^2 = ac + 1
b
2
=
a
c
+
1
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