Let p(z) = z²z+1. 1. Find all complex number z EC such that p(z) = 0. 2. Let f: DCC\R → R be a function defined for all z E D by p(z) + 2z p(z) f(z) = Find the domain of definition of f.
Let p(z) = z²z+1. 1. Find all complex number z EC such that p(z) = 0. 2. Let f: DCC\R → R be a function defined for all z E D by p(z) + 2z p(z) f(z) = Find the domain of definition of f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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![Let p(z) = z²z + 1.
1. Find all complex number z EC such that p(z) = 0.
2. Let f DC C\R → R be a function defined for all z € D by
p(z) + 2z
p(z)
f(z) =
Find the domain of definition of f.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc00349a1-cb34-4ba6-a61c-057c68e82a96%2F2fb8643d-f99d-46d2-8a8a-f5cc1d322111%2Fdxp4bo9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let p(z) = z²z + 1.
1. Find all complex number z EC such that p(z) = 0.
2. Let f DC C\R → R be a function defined for all z € D by
p(z) + 2z
p(z)
f(z) =
Find the domain of definition of f.
=
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