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Mathematics
Problem
If
z
1
,
z
2
,
z
3
z_1, z_2, z_3
z
1
,
z
2
,
z
3
and
z
4
z_4
z
4
are the roots of the equation
z
4
=
1
z^4 = 1
z
4
=
1
, the value of
∑
i
=
1
4
z
i
3
\sum_{i=1}^{4} z_i^3
∑
i
=
1
4
z
i
3
is a. 0 b. 1 c.
i
,
i
=
−
1
i, i = \sqrt{-1}
i
,
i
=
−
1
d.
1
+
i
,
i
=
−
1
1 + i, i = \sqrt{-1}
1
+
i
,
i
=
−
1
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