From f8481a71b031a293be66d14531cbb44963924de2 Mon Sep 17 00:00:00 2001 From: viviantran27 Date: Fri, 28 Dec 2018 14:14:07 -0500 Subject: [PATCH] Added complex number graphing (#23687) --- .../mathematics/complex-numbers-introduction/index.md | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/guide/english/mathematics/complex-numbers-introduction/index.md b/guide/english/mathematics/complex-numbers-introduction/index.md index d846fffc8b..82d71ee631 100644 --- a/guide/english/mathematics/complex-numbers-introduction/index.md +++ b/guide/english/mathematics/complex-numbers-introduction/index.md @@ -15,8 +15,17 @@ However, with complex numbers this is [no longer](https://math.stackexchange.com With this in mind, looking at our examples above again we see that 3 + 4i has magnitude sqrt(9 + 16) = sqrt(25) = 5, while i has size 1 and 2 has size 2. In particular, our notion of size is compatible with that of the size of a real number. +Geometrically, complex numbers can be plotted on the two-dimensional complex plane in the form (a,b). +![i](https://upload.wikimedia.org/wikipedia/commons/thumb/a/af/Complex_number_illustration.svg/220px-Complex_number_illustration.svg.png) + +#### Examples +1. What is the real part of 2i+1? +A. Real part : 1 + + ### Similarities to Real Numbers + Any complex numbers z = a + bi and w = c + di can be added ``` z + w = (a + c) + (b + d)i