Given the complex number z such that z-4i = a+3zi , find the value of a if z is purely imaginary.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.5: Complex Numbers
Problem 2E: For the complex number 3+4i real part is ______________, and the imaginary part is _______________.
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Given the complex number z such that
z-4i = a+3zi ,
find the value of a if z is purely imaginary.
Transcribed Image Text:Given the complex number z such that z-4i = a+3zi , find the value of a if z is purely imaginary.
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