Stage 31 · Complex Numbers

31.6.1 A Negative Discriminant Is No Longer a Dead End

31.6 Complex Numbers and Equations: Letting Every Root Appear

Point 1 of 5

31.6.1 A Negative Discriminant Is No Longer a Dead End

Core idea

Picture this: when Δ<0 a negative slips under the square root, which we once called "no solution," but now one stroke of i drops the roots right onto the complex plane

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
eastmath.com · 31.6 Complex Numbers and Equations: Letting Every Root Appear · 31.6.1 A Negative Discriminant Is No Longer a Dead End