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ComplexNumber
USAMO
2015
Problem - 2210
Let
z
1
,
z
2
,
z
3
, and
z
4
be the four distinct complex solutions of the equation
z
4
−
6
z
2
+
8
z
+
1
=
−
4
(
z
3
−
z
+
2
)
i
Find the sum of the six pairwise distance between
z
1
,
z
2
,
z
3
and
z
4
.
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