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Mathematics
Problem
If
z
z
z
is a complex number and
i
z
3
+
z
2
−
z
+
i
=
0
iz^3 + z^2 - z + i = 0
i
z
3
+
z
2
−
z
+
i
=
0
, then prove that
∣
z
∣
=
1
|z| = 1
∣
z
∣
=
1
.
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