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Unit circle roots of polynomial equation

2175ExpertPolynomialsComplex Numbers

HMMT Spring 2021 Guts Round · 2021

Compute the number of complex numbers $z$ with $|z|=1$ that satisfy $$ 1+z^{5}+z^{10}+z^{15}+z^{18}+z^{21}+z^{24}+z^{27}=0 $$
0 students attempted0% solvedRating 2175

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