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National and Regional Contests
Russia Contests
Moscow Mathematical Olympiad
1951 Moscow Mathematical Olympiad
188
188
Part of
1951 Moscow Mathematical Olympiad
Problems
(1)
MMO 188 Moscow MO 1951 x^{12} - x^9 + x^4 - x + 1 > 0
Source:
8/6/2019
Prove that
x
12
−
x
9
+
x
4
−
x
+
1
>
0
x^{12} - x^9 + x^4 - x + 1 > 0
x
12
−
x
9
+
x
4
−
x
+
1
>
0
for all
x
x
x
.
algebra
inequalities