2. Perform the required calculations and express your answer in the form a + bi. a) (1 + i )6 c) |3 – 4i| b) (3+i)/( 2+i) 3. Prove that Re(2-z+z²)|<4 when z<1. 4. Prove that z is either real or pure imaginary if and only if (z) = z². %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 52RE
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Queation 4

2.
Perform the required calculations and express your answer in the form a + bi.
a)
(1 + i )6
c)
|3 – 4i|
b)
(3+i)/( 2+i)
3.
Prove that Re(2-z+z²)|<4 when z<1.
4.
Prove that z is either real or pure imaginary if and only if (z) = z².
%3D
Transcribed Image Text:2. Perform the required calculations and express your answer in the form a + bi. a) (1 + i )6 c) |3 – 4i| b) (3+i)/( 2+i) 3. Prove that Re(2-z+z²)|<4 when z<1. 4. Prove that z is either real or pure imaginary if and only if (z) = z². %3D
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