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2018 China Team Selection Test
6
2018 China TST 3 Day 2 Q3
2018 China TST 3 Day 2 Q3
Source: Mar 21, 2018
March 27, 2018
number theory
algebra
China TST
Pell equations
Problem Statement
Find all pairs of positive integers
(
x
,
y
)
(x, y)
(
x
,
y
)
such that
(
x
y
+
1
)
(
x
y
+
x
+
2
)
(xy+1)(xy+x+2)
(
x
y
+
1
)
(
x
y
+
x
+
2
)
be a perfect square .
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