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AMC 12 2023a Problem 14

  • Paper

How many complex numbers satisfy the equation z5=z‾z^{5}=\overline{z}, where z‾\overline{z} is the conjugate of the complex number zz?

\textbf{(A)}~2 \textbf{(B)}~3 \textbf{(C)}~5 \textbf{(D)}~6 \textbf{(E)}~7

Dataset text AMC 12 2000 to 2025. Quoted with source.

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E

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