# A literal complex system

Algebra Level 3

$\large \begin{cases}{x+y+z=2} \\ {x^2+y^2+z^2=3} \\ {xyz = 4 } \end{cases}$

If $$x,y$$ and $$z$$ are complex numbers that satsify the system of equations above, find the value of $$\frac1{xy+z-1} +\frac1{yz+x-1}+\frac1{zx+y-1}$$.

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