Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial p(2) = 23 + 22 + 9z + 4.
Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial p(2) = 23 + 22 + 9z + 4.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 57E
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![8. (The argument principle and Rouché's theorem)
(a) Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial
p(2) = 2* + z² + 9z + 4.
(b) Show that the equation
e= - 2:2 = 1
has exactly two solutions in the disk |z| < 1, and that they are both real.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9292b0f9-d3c2-496d-a6a1-61dbb802afda%2F8d5092b6-3d76-4cbf-949f-46329d9cc236%2Fa4iak6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. (The argument principle and Rouché's theorem)
(a) Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial
p(2) = 2* + z² + 9z + 4.
(b) Show that the equation
e= - 2:2 = 1
has exactly two solutions in the disk |z| < 1, and that they are both real.
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