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1
\frac{x^2+y}{xy+1}
\frac{x^2+y}{xy+1}
Source: Romania TST 2016 Day 5 Problem 1
June 2, 2016
number theory
Problem Statement
Determine the positive integers expressible in the form
x
2
+
y
x
y
+
1
\frac{x^2+y}{xy+1}
x
y
+
1
x
2
+
y
, for at least
2
2
2
pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
of positive integers
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