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Vojtěch Jarník IMC
2014 VJIMC
Problem 1
complex # equation (VJIMC 2014 1.1)
complex # equation (VJIMC 2014 1.1)
Source:
May 20, 2021
complex numbers
algebra
Problem Statement
Find all complex numbers
z
z
z
such that
∣
z
3
+
2
−
2
i
∣
+
z
z
‾
∣
z
∣
=
2
2
.
|z^3+2-2i|+z\overline z|z|=2\sqrt2.
∣
z
3
+
2
−
2
i
∣
+
z
z
∣
z
∣
=
2
2
.
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