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Complex Number Fifth Power Real Part

1425ApprenticeTrigonometryComplex Numbers

USA Contests · 2021 · Problem 13

Of the following complex numbers $z$, which one has the property that $z^5$ has the greatest real part?

Answer choices

A
-2
B
-\sqrt{3}+i
C
-\sqrt{2}+\sqrt{2}i
D
-1+\sqrt{3}i
E
2i
0 students attempted0% solvedRating 1425

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