If z1 and z2 are complex numbers such that |21| = |2|, prove that arg(2122) = arg ((21 + z2)²) .
If z1 and z2 are complex numbers such that |21| = |2|, prove that arg(2122) = arg ((21 + z2)²) .
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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![If z1 and z2 are complex numbers such that |21] = |22|, prove that
arg(21 22) = arg ((21 + 2)²) .
arg ((21 + z2)²)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda059a5f-b8e9-454d-88fb-eb726beaf673%2F117ae20a-f709-49fa-a616-4ddc3179cd0e%2Fqj2r0up_processed.png&w=3840&q=75)
Transcribed Image Text:If z1 and z2 are complex numbers such that |21] = |22|, prove that
arg(21 22) = arg ((21 + 2)²) .
arg ((21 + z2)²)
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