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Homework Statement
If Z1+Z2+Z3=0 and Z1*Z2 + Z2*Z3 + Z3*Z1=0 and Z1, Z2, Z3 are all complex, what is the value of
(|z1|+|z2|+|z3|)/(|z1*z2|+|z2*z3|+|z3*z1|)
Homework Equations
The Attempt at a Solution
I tried to multiply the equations by the product of all conjugates and reach some equations but it lead to nothing in the end.[/B]