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Problems
Contests
National and Regional Contests
Kyrgyzstan Contests
Kyrgyzstan National Olympiad
2011 Kyrgyzstan National Olympiad
4
4
Part of
2011 Kyrgyzstan National Olympiad
Problems
(1)
Algebraic ineq(KgNM2011)
Source:
4/20/2011
Given equation
a
5
ā
a
3
+
a
=
2
{a^5} - {a^3} + a = 2
a
5
ā
a
3
+
a
=
2
, with real
a
a
a
. Prove that
3
<
a
6
<
4
3 < {a^6} < 4
3
<
a
6
<
4
.
inequalities
algebra
Zhan