# Complexity!

Algebra Level 3

Let $$z_{1}$$ and $$z_{2}$$ be the two complex roots of the equation $$z^{2} +az+ b =0$$, where $$a$$ and $$b$$ are real numbers. Further, assume that the origin, $$z_{1}$$ and $$z_{2}$$ form an equilateral triangle. Then:

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