TT 2(cos-+ i sin 4 a) Verify that Z₁ is a solution (root) of the following equation: z + 16 = 0 Z₁ = π in 7 b) Find the values of real constants a and b so that: (z-Z₁)(z-Z₁) = z²+az+b when Z₁ denotes the complex conjugate of Z₁.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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π
TT
Z1 = 2(cos + i sin
4
a) Verify that Z₁ is a solution (root) of the following equation:
z4 + 16 = 0
b) Find the values of real constants a and b so that:
(z − Z₁) (z − Z₁) = z² +az+b
-
when Z₁ denotes the complex conjugate of Z₁.
Transcribed Image Text:π TT Z1 = 2(cos + i sin 4 a) Verify that Z₁ is a solution (root) of the following equation: z4 + 16 = 0 b) Find the values of real constants a and b so that: (z − Z₁) (z − Z₁) = z² +az+b - when Z₁ denotes the complex conjugate of Z₁.
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