31.6.3 Complex Roots Come in Pairs: Conjugate Roots
31.6 Complex Numbers and Equations: Letting Every Root Appear
Point 3 of 5
31.6.3 Complex Roots Come in Pairs: Conjugate Roots
Core idea
Picture this: the complex roots of a real-coefficient equation always arrive as a matched mirror pair; if a+bi is a root, then a−bi must be one too
Module goal. We use complex numbers to complete the roots of real-coefficient equations, reclaiming what a negative discriminant used to cost us, and paving the way for counting and polynomials ahead
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