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2014 BMT Spring
11
2014 BMT Team 11
2014 BMT Team 11
Source:
January 6, 2022
algebra
Problem Statement
Suppose that
x
10
+
x
+
1
=
0
x^{10} + x + 1 = 0
x
10
+
x
+
1
=
0
and
x
1
00
=
a
0
+
a
1
x
+
.
.
.
+
a
9
x
9
x^100 = a_0 + a_1x +... + a_9x^9
x
1
00
=
a
0
+
a
1
x
+
...
+
a
9
x
9
. Find
a
5
a_5
a
5
.
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