Complex Numbers: Prove sum of zeros of z^n = k is 0, without using polar form.

[olson]

Prove that if k is any complex number then the sum of the zeros of zⁿ = k is 0, without using polar form.

 

[Deleted member 4993]

Prove that if k is any complex number then the sum of the zeros of zⁿ = k is 0, without using polar form.

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