Problem
2023 AMC 12A Problem 14
How many complex numbers satisfy the equation z^5=\overline{z}, where \overline{z} is the conjugate of the complex number z?
\textbf{(A)} 2 \qquad \textbf{(B)} 3 \qquad \textbf{(C)} 5 \qquad \textbf{(D)} 6 \qquad \textbf{(E)} 7
Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.
Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)
Problem feedback
Difficulty
—