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13
2017-2018 Spring OMO Problem 13
2017-2018 Spring OMO Problem 13
Source:
April 3, 2018
Problem Statement
Find the smallest positive integer
n
n
n
for which the polynomial
x
n
−
x
n
−
1
−
x
n
−
2
−
⋯
−
x
−
1
x^n-x^{n-1}-x^{n-2}-\cdots -x-1
x
n
−
x
n
−
1
−
x
n
−
2
−
⋯
−
x
−
1
has a real root greater than
1.999
1.999
1.999
.Proposed by James Lin
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