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# Let z be a complex number such that z^5=1 and z is not equal to 1.

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Let z be a complex number such that z^5=1 and z is not equal to 1.

Compute $$z + \frac{1}{z} + z^2 + \frac{1}{z^2}.$$

Aug 24, 2020

#1
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The expression is equal to 4.

Aug 24, 2020
#2
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that's incorrect.

Guest Aug 24, 2020