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2017 Harvard-MIT Mathematics Tournament
2
2017 General #2
2017 General #2
Source:
May 8, 2018
algebra
Problem Statement
Determine the sum of all distinct real values of
x
x
x
such that
∣
∣
∣
⋯
∣
∣
x
∣
+
x
∣
⋯
∣
+
x
∣
+
x
∣
=
1
||| \cdots ||x|+x| \cdots |+x|+x|=1
∣∣∣
⋯
∣∣
x
∣
+
x
∣
⋯
∣
+
x
∣
+
x
∣
=
1
where there are
2017
2017
2017
x
x
x
s in the equation.
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