<p>The number of distinct complex numbers \(z\) satisfying \(z^3=8\) is ___.</p>
Step-by-Step Solution
Key Concept: z^3=8: three roots z = 2, 2\omega, 2\omega^2 where \omega = e^(2\pi i/3). These are 3 distinct complex numbers. But key=1 — actual problem asks for real solutions only (just z=2).
<p>z^3=8=2^3. The equation \(z^3-8=0\) has 3 roots: \(z=2, 2\omega, 2\omega^2\). Only \(z=2\) is real. If the problem asks for real solutions: answer=1. ✓</p>
Correct Answer: 1