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Let z be a complex number, and let n be a positive integer such that...

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Algebra

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Let z be a complex number, and let n be a positive integer such that z" = (z + 1)" = 1.a) Prove that |z| = |z + 1| = 1.b) Find the possible values of z in exponential form.c) Prove that n must be divisible by 6.

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