MathDB
Problems
Contests
National and Regional Contests
Turkey Contests
Turkey MO (2nd round)
1994 Turkey MO (2nd round)
5
5
Part of
1994 Turkey MO (2nd round)
Problems
(1)
Turkish MO 1994 P5
Source: Turkish Mathematical Olympiad 2nd Round 1994
9/27/2006
Find the set of all ordered pairs
(
s
,
t
)
(s,t)
(
s
,
t
)
of positive integers such that
t
2
+
1
=
s
(
s
+
1
)
.
t^{2}+1=s(s+1).
t
2
+
1
=
s
(
s
+
1
)
.
quadratics
calculus
integration
number theory unsolved
number theory