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2013 District Olympiad
2
(2x + 1)/(x^2 + 2x + 3) is integer
(2x + 1)/(x^2 + 2x + 3) is integer
Source: 2013 Romania District VIII p2
September 1, 2024
number theory
Integer
Problem Statement
Find all real numbers
x
x
x
for which the number
a
=
2
x
+
1
x
2
+
2
x
+
3
a =\frac{2x + 1}{x^2 + 2x + 3}
a
=
x
2
+
2
x
+
3
2
x
+
1
is an integer.
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