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Number of Complex Solutions

Source: Brazil Undergrad MO - Galois-Noether 2018 #19

November 26, 2019
complex numberscalculusBrazilian Undergrad MO

Problem Statement

What is the largest amount of complex z z solutions a system can have? ∣z−1∣∣z+1∣=1 | z-1 || z + 1 | = 1 Im(z)=b? Im (z) = b? (where b b is a real constant)
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