# Complicated Complex Fractions

Algebra Level 5

Let $$x, y$$ and $$z$$ be complex numbers such that

$x + y + z = 2$

$x^2 + y^2 + z^2 = 3$

$xyz = 4$.

Evaluate

$|\frac {1}{xy + z - 1} + \frac {1}{yz + x - 1} + \frac {1}{zx + y - 1}|$

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