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3
a^4+ a^3-10 a^2+9 a+4>0 for a>=0
a^4+ a^3-10 a^2+9 a+4>0 for a>=0
Source: 1989 Greece MO Grade XI p3
September 7, 2024
algebra
polynomial
inequalities
Problem Statement
If
a
≥
0
a\ge 0
a
≥
0
prove that
a
4
+
a
3
−
10
a
2
+
9
a
+
4
>
0
a^4+ a^3-10 a^2+9 a+4>0
a
4
+
a
3
−
10
a
2
+
9
a
+
4
>
0
.
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