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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
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)
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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