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MAA AMC
AMC 12/AHSME
1990 AMC 12/AHSME
22
Complex Roots
Complex Roots
Source:
April 4, 2006
Problem Statement
If the six solutions of
x
6
=
−
64
x^6=-64
x
6
=
−
64
are written in the form
a
+
b
i
a+bi
a
+
bi
, where
a
a
a
and
b
b
b
are real, then the product of those solutions with
a
>
0
a>0
a
>
0
is
(A)
−
2
(B)
0
(C)
2
i
(D)
4
(E)
16
\text{(A)} \ -2 \qquad \text{(B)} \ 0 \qquad \text{(C)} \ 2i \qquad \text{(D)} \ 4 \qquad \text{(E)} \ 16
(A)
−
2
(B)
0
(C)
2
i
(D)
4
(E)
16
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