Find the real numbers x and y. 1. X- iy = -2+ 3i Given that Z1 =1-2i & z = 4 + 5i find 2. Z, +z, 3. 3z, +4z, Perform the calculations and express the result in the form a+bi. (1+ 2i)(4 – 6i )² 4. i(1+ 7i)– 3i(4+ 2i) - 5. (1 + i + i* +i )™® 6.

Find the real numbers x and y. 1. X- iy = -2+ 3i Given that Z1 =1-2i & z = 4 + 5i find 2. Z, +z, 3. 3z, +4z, Perform the calculations and express the result in the form a+bi. (1+ 2i)(4 – 6i )² 4. i(1+ 7i)– 3i(4+ 2i) - 5. (1 + i + i* +i )™® 6.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 76E

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Question

Solve the following complex numbers

Find the real numbers x and y.
1.
x – iy = -2+ 3i
Z2 = 4+ 5i
%3D
Given that 21 =1- 2i &
find
2. 21 +z,
3z, +4z,
3.
Perform the calculations and express the result in the form a+bi.
(1+ 2i)(4 – 6i)'
4.
i(1+ 7i)– 3i(4+ 2i)
-
5.
00
(1+ i +i² +i³ )™
6.
Find,
2509
7.
.999
8.
i' +i10 +i5 +i20 + i 25 + i 30
:15
•30
9.
In each part, find z
10.
z = 2+7i
11. z = 5i

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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