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Complex Numbers

z14 + 1/z14 ...

Question

$z^{14} + 1 / z^{14} = - 1$ where z is a root of the equation z + 1/z = 1.

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Solution

Roots of $\frac{z + 1}{z} = 1 a r e - ω a n d - ω^{2}$ .

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