(a) Find the modulus of z. (b) How many solutions does this equation have?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please do Q24 and use rules from 4.2.22 to help answer Q24

Transcribed Image Text:Exercise 4.2.24. Suppose that z is a complex number such that z
z-1 = z.
4.2 ARITΗΜΕ ΤIC WITH COMPLEX NUMBERS
45
(a) Find the modulus of z.
(b) How many solutions does this equation have?

Transcribed Image Text:Exercise 4.2.22. Prove each of the following propositions (follow the style
of Proposition 4.2.21).
(a) (2):
(g) |리53 |2°| (*Hint *)
= Z
(b) z. w = zw
(h) z-1
(*Hint*)
|z|2
(c) If a is real, then az = az
(d) |z| = ||
(i) |2-1| = (*Hint*)
|z|
(e) zz = |2|2
(j) (z)-1 = z-1
(f) |zw| = |2||w|
(k) (zw)-1 = w-1z-1
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