MathDB
complex equation involving cyclic sum

Source: Romania National Olympiad 2015, grade x, p.1

August 23, 2019
complex numbersabsolute valuealgebra

Problem Statement

Find all triplets (a,b,c) (a,b,c) of nonzero complex numbers having the same absolute value and which verify the equality: ab+bc+ca=−1 \frac{a}{b} +\frac{b}{c}+\frac{c}{a} =-1
Back to ProblemsView on AoPS