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a. Let z(1),z(2) and z(3) be complex num...

a. Let `z_(1),z_(2)` and `z_(3)` be complex numbers such that `|z_(1)|=|z_(2)|=|z_(3)|=rgt0` and `z_(1)+z_(2)+z_(3)!=0`.
Prove that `|(z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1))/(z_(1)+z_(2)+z_(3))|=r`
b. Find all cube roots of `sqrt(3)+i`.

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