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Contests
National and Regional Contests
India Contests
India National Olympiad
1994 India National Olympiad
2
One related to polynomials
One related to polynomials
Source: INMO 1994 Problem 2
October 6, 2005
algebra
polynomial
inequalities
inequalities unsolved
Problem Statement
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
.
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