Three complex numbers $z_1, z_2$ and $z_3$ all have the same magnitude and are evenly spaced around an argand diagram. Given the complex numbers form the vertices of an equilateral triangle with an area of $12$ square units, find the complex numbers, giving your answer in the form $a+bi$.
2026-03-30 13:36:20.1774877780
Complex numbers on an argand diagram
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