MathDB
Problems
Contests
Undergraduate contests
IMC
2005 IMC
1
IMC 2005 day 2 pb1
IMC 2005 day 2 pb1
Source: Peter
July 26, 2005
conics
parabola
parameterization
IMC
college contests
Problem Statement
1. Let
f
(
x
)
=
x
2
+
b
x
+
c
f(x)=x^2+bx+c
f
(
x
)
=
x
2
+
b
x
+
c
, M = {x | |f(x)|<1}. Prove
∣
M
∣
≤
2
2
|M|\leq 2\sqrt{2}
∣
M
∣
≤
2
2
(|...| = length of interval(s))
Back to Problems
View on AoPS