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2018 preRMO p9, a+b is root of x^2 +ax+b = 0, a,b integers
2018 preRMO p9, a+b is root of x^2 +ax+b = 0, a,b integers
Source:
August 8, 2019
trinomial
Integers
Root
maximum
Problem Statement
Suppose
a
,
b
a, b
a
,
b
are integers and
a
+
b
a+b
a
+
b
is a root of
x
2
+
a
x
+
b
=
0
x^2 +ax+b = 0
x
2
+
a
x
+
b
=
0
. What is the maximum possible value of
b
2
b^2
b
2
?
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