5. Find all complex numbers of the form z = a + bi , where a and b are real numbers such that zz' = 25 and a + b = 7, where z' is the complex conjugate of z.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 36E
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5. Find all complex numbers of the form z = a + bi , where a and b are real numbers such that zz' = 25 and a + b =
7, where z' is the complex conjugate of z.
Transcribed Image Text:5. Find all complex numbers of the form z = a + bi , where a and b are real numbers such that zz' = 25 and a + b = 7, where z' is the complex conjugate of z.
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