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1
three interesting complex numbers
three interesting complex numbers
Source:
April 25, 2021
complex numbers
algebra
Problem Statement
Find the complex numbers
x
,
y
,
z
x,y,z
x
,
y
,
z
,with
∣
x
∣
=
∣
y
∣
=
∣
z
∣
\mid x\mid=\mid y\mid=\mid z\mid
∣
x
∣=∣
y
∣=∣
z
∣
,knowing that
x
+
y
+
z
x+y+z
x
+
y
+
z
and
x
3
+
y
3
+
z
3
x^{3}+y^{3}+z^{3}
x
3
+
y
3
+
z
3
are be real numbers.
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