So to simplify a quotient like we multiply both numerator and denominator by the complex conjugate of the 5-3 i' bottom, namely 5 – 3 i = 5+3*l Note: enter the complex number a + ib use the Maple syntax a+b*I. This then gives us (1+4i)(5–3 i) 1+4i 5-3 i Number +i Number (5–3 i)(5–3 i)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 2OE
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So to simplify a quotient like
1+4 i
5-3 i'
we multiply both numerator and denominator by the complex conjugate of the
bottom, namely 5 – 3 i =
= 5+3*|
Note: enter the complex number a + ib use the Maple syntax a+b*I.
This then gives us
(1+4 i)(5–3 i)
1+4i
5–3 i
Number
+i Number
(5–3 i)(5–3 i)
Transcribed Image Text:So to simplify a quotient like 1+4 i 5-3 i' we multiply both numerator and denominator by the complex conjugate of the bottom, namely 5 – 3 i = = 5+3*| Note: enter the complex number a + ib use the Maple syntax a+b*I. This then gives us (1+4 i)(5–3 i) 1+4i 5–3 i Number +i Number (5–3 i)(5–3 i)
For multiplication, we just use the usual distributive law, together with the crucial property that i
-1
So
that for example
(1+4i) (3+5 i) =
+i Number
Number
Transcribed Image Text:For multiplication, we just use the usual distributive law, together with the crucial property that i -1 So that for example (1+4i) (3+5 i) = +i Number Number
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