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Complex Numbers problem

  1. Jan 12, 2017 #1
    1. The problem statement, all variables and given/known data
    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|)

    2. Relevant equations


    3. 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.
     
  2. jcsd
  3. Jan 12, 2017 #2

    jedishrfu

    Staff: Mentor

    Is this the whole problem or is there some more info about z1, z2 and z3 like being the vertices of some figure?

    Also you need to show your work before we can help.
     
  4. Jan 12, 2017 #3

    Math_QED

    User Avatar
    Homework Helper

    Type out your work, so we can see whether you made mistakes.
     
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