(a) If z = w-2z, show, without breaking into real and imaginary parts, that 3z (Hint: take conjugates of the given equation, then eliminate z.) (b) If z = (1+ i)w + (3 – i)w, express w in terms of z and z. (Take conjugates, and then eliminate w.) 2w-w. %3D and 7

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 40E
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plz solve both parts within 30-40 mins I'll give you multiple upvote
(a) If z = w-2z, show, without breaking into real and imaginary parts, that 3z 2w-w.
%3D
(Hint: take conjugates of the given equation, then eliminate z.)
(b) If z = (1 + i)w + (3 – i)w, express w in terms of z and z. (Take conjugates, and
then eliminate w.)
1 in terms of z and z.
Transcribed Image Text:(a) If z = w-2z, show, without breaking into real and imaginary parts, that 3z 2w-w. %3D (Hint: take conjugates of the given equation, then eliminate z.) (b) If z = (1 + i)w + (3 – i)w, express w in terms of z and z. (Take conjugates, and then eliminate w.) 1 in terms of z and z.
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