Stage 31 · Complex Numbers

31.1.4 When Complex Numbers Are Equal, and How We Sort Them

31.1 From Analytic Geometry to an Equation We Can't Solve

Point 4 of 4

31.1.4 When Complex Numbers Are Equal, and How We Sort Them

Core idea

Picture this: two ID cards count as the same person only when both real part and imaginary part match; b=0 makes it a real number, a=0 makes it purely imaginary

Module goal. Picking up the coordinate geometry from the last stage, we start from a genuine dead end — the real number line just isn't enough — and from there introduce the imaginary unit and the idea of complex numbers
eastmath.com · 31.1 From Analytic Geometry to an Equation We Can't Solve · 31.1.4 When Complex Numbers Are Equal, and How We Sort Them