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2020 AMC 12A Question 15

AMC12 · 2020 AMC 12A

Question 15

In the complex plane, let $A$ be the set of solutions to $z^3 - 8 = 0$ and let $B$ be the set of solutions to $z^3 - 8z^2 - 8z + 64 = 0.$ What is the greatest distance between a point of $A$ and a point of $B?$
  1. $2\sqrt{3}$
  2. $6$
  3. $9$
  4. $2\sqrt{21}$
  5. $9 + \sqrt{3}$