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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text: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
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