Find the total number of solutions of $z^3 = \bar{z}$ in $\mathbb{C}$.
Step-by-Step Solution
Key Concept: Take modulus to get $|z| = 0$ or $|z| = 1$. For $|z| = 1$, use $\bar{z} = 1/z$ to get $z^4 = 1$. Count all valid solutions.
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Correct Answer: 5