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2015 District Olympiad
3
complex equation
complex equation
Source: Romanian District Olympiad 2015, Grade X, Problem 3
September 25, 2018
equation
complex numbers
algebra
Problem Statement
Solve in
C
\mathbb{C}
C
the following equation:
∣
z
∣
+
∣
z
−
5
i
∣
=
∣
z
−
2
i
∣
+
∣
z
−
3
i
∣
.
|z|+|z-5i|=|z-2i|+|z-3i|.
∣
z
∣
+
∣
z
−
5
i
∣
=
∣
z
−
2
i
∣
+
∣
z
−
3
i
∣.
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