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India Pre-Regional Mathematical Olympiad
2014 India PRMO
6
2014 preRMO p6, x^2 -nx + 2014 = 0 integer roots
2014 preRMO p6, x^2 -nx + 2014 = 0 integer roots
Source:
August 9, 2019
trinomial
Integer
roots
minimum
Problem Statement
What is the smallest possible natural number
n
n
n
for which the equation
x
2
ā
n
x
+
2014
=
0
x^2 -nx + 2014 = 0
x
2
ā
n
x
+
2014
=
0
has integer roots?
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