Find all the roots of z²= - /3-j A z=2 (cos +j sin-) B z=/2 (cos (- =+ 2kn) +j sin ( 12 + 2kn)), 12 -57 + ka) +j sin (- 12 -5n + kn)), k 0, I 12 =V2 (cos (- + 2ka)) k= 1,2 6. -5A z=V2 (cos ( -5л + 2kn) +j sin ( 6.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find all the roots of
z²= - V3-j
A
z=2 (cos – +j sin-)
6.
6.
z=V2 (cos (- + 2kn) +j sin (-
12
+ 2ka)),
12
-5л
-5R
© z=V2 (cos (
+ ka) +j sin (
12
- + ka)), k=0, 1
12
-5x
5л
z=V2 (cos
-5R
+ 2km) +j sin(+2
2ka)) k= 1,2
+ 2kn) +j sin (
6.
6.
Transcribed Image Text:Find all the roots of z²= - V3-j A z=2 (cos – +j sin-) 6. 6. z=V2 (cos (- + 2kn) +j sin (- 12 + 2ka)), 12 -5л -5R © z=V2 (cos ( + ka) +j sin ( 12 - + ka)), k=0, 1 12 -5x 5л z=V2 (cos -5R + 2km) +j sin(+2 2ka)) k= 1,2 + 2kn) +j sin ( 6. 6.
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