MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2014 India PRMO
17
17
Part of
2014 India PRMO
Problems
(1)
2014 preRMO p17, x^2+ax+b = 0 has integer roots , N(b) = 20
Source:
8/9/2019
For a natural number
b
b
b
, let
N
(
b
)
N(b)
N
(
b
)
denote the number of natural numbers
a
a
a
for which the equation
x
2
+
a
x
+
b
=
0
x^2 + ax + b = 0
x
2
+
a
x
+
b
=
0
has integer roots. What is the smallest value of
b
b
b
for which
N
(
b
)
=
20
N(b) = 20
N
(
b
)
=
20
?
algebra
Integer
roots
minimum