Stage 31 · Complex Numbers

31.6 Complex Numbers and Equations: Letting Every Root Appear

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

5 knowledge points

Knowledge point pages

31.6.1 A Negative Discriminant Is No Longer a Dead End 31.6.2 Complex Roots of Real-Coefficient Equations 31.6.3 Complex Roots Come in Pairs: Conjugate Roots 31.6.4 The Full Picture of a Quadratic's Roots 31.6.5 Onward to Counting and Polynomials

eastmath.com · 31.6 Complex Numbers and Equations: Letting Every Root Appear