SOLUTION: If z1+z2+z3=0 and z1^2+z2^2+z3^2=0, prove that |z1|=|z2|=|z3|
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-> SOLUTION: If z1+z2+z3=0 and z1^2+z2^2+z3^2=0, prove that |z1|=|z2|=|z3|
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Question 888022
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If z1+z2+z3=0 and z1^2+z2^2+z3^2=0, prove that |z1|=|z2|=|z3|
Answer by
Edwin McCravy(20060)
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by symmetry, we may swap
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Edwin