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2
2000 Oral #2: Solutions to 10th Degree equation
2000 Oral #2: Solutions to 10th Degree equation
Source:
October 6, 2014
Problem Statement
How many positive solutions are there to
x
10
+
7
x
9
+
14
x
8
+
1729
x
7
ā
1379
x
6
=
0
x^{10}+7x^9+14x^8+1729x^7-1379x^6=0
x
10
+
7
x
9
+
14
x
8
+
1729
x
7
ā
1379
x
6
=
0
? How many positive integer solutions?
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