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2023 AMC 12A Question 14

AMC12 · 2023 AMC 12A

Question 14

How many complex numbers satisfy the equation $z^5=\overline{z},$ where $\overline{z}$ is the conjugate of the complex number $z?$
  1. $2$
  2. $3$
  3. $5$
  4. $6$
  5. $7$