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If \( re^{i \theta}\) is a root of \(z^8 - z^7 + z^6 - z^5 + z^4 - z^3 + z^2 - z + 1 = 0\), where \(r > 0\) and \(0 \le \theta < 2 \pi,\) then find the sum of all possible values of \(\theta.\)

 Mar 13, 2021
 #1
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The sum of all possible values of theta is 12*pi.

 Mar 13, 2021
 #2
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sorry thats incorrect

 Mar 13, 2021

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