MathDB
Problems
Contests
National and Regional Contests
India Contests
India National Olympiad
1994 India National Olympiad
2
2
Part of
1994 India National Olympiad
Problems
(1)
One related to polynomials
Source: INMO 1994 Problem 2
10/6/2005
If
x
5
−
x
3
+
x
=
a
,
x^5 - x ^3 + x = a,
x
5
−
x
3
+
x
=
a
,
prove that
x
6
≥
2
a
−
1
x^6 \geq 2a - 1
x
6
≥
2
a
−
1
.
algebra
polynomial
inequalities
inequalities unsolved