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Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2017 India PRMO
4
4
Part of
2017 India PRMO
Problems
(1)
2017 preRMO p4, roots (x^2+ax+20)(x^2+17x+b) = 0 are negative integers
Source:
8/9/2019
Let
a
,
b
a, b
a
,
b
be integers such that all the roots of the equation
(
x
2
+
a
x
+
20
)
(
x
2
+
17
x
+
b
)
=
0
(x^2+ax+20)(x^2+17x+b) = 0
(
x
2
+
a
x
+
20
)
(
x
2
+
17
x
+
b
)
=
0
are negative integers. What is the smallest possible value of
a
+
b
a + b
a
+
b
?
trinomial
roots
Integers
algebra