Factorize the expression (5 – i)z² – (3 – 2i)z + e2™i.

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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Help 1.5

1.4 Describe and sketch the curve in the complex plane given by
21리 3 1z- 21.
Also write your final equation in terms of z.
1.5 Factorize the expression (5 – i)z² – (3 – 2i)z + e2™i_
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Transcribed Image Text:1.4 Describe and sketch the curve in the complex plane given by 21리 3 1z- 21. Also write your final equation in terms of z. 1.5 Factorize the expression (5 – i)z² – (3 – 2i)z + e2™i_ -
Expert Solution
Step 1

(1.5) Given that the expression

(5-i)z2-(3-2i)z+e2πi

Here the expression is quadratic in the complex variables.

To factorize it

 

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