Posted by **Mathsfreak** on Thursday, April 18, 2013 at 10:50am.

x,y and z are complex numbers that satisfy the equations x+y+z=2, xy+yz+zx=3 and xyz=4. Given that 1/(1−x−yz)+1(1−y−zx)+1(1−z−xy)=ab, where a and b are coprime positive integers, what is the value of a+b?

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