MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Stanford Mathematics Tournament
2009 Stanford Mathematics Tournament
3
SMT 2009 Algebra 3
SMT 2009 Algebra 3
Source:
December 27, 2011
Problem Statement
Find all integer pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
such that
a
b
+
a
ā
3
b
=
5
ab+a-3b=5
ab
+
a
ā
3
b
=
5
Back to Problems
View on AoPS