Question

Determine os v alores reais de (a) e (b), sabendo que: -1 + ai/ b + 5i = 3 + 2i

Answer 1

 -1 + ai/ b + 5i = 3 + 2i
- 1 + ai = 3 + 2i
   b + 5i

(3 + 2i )(b + 5i ) = - 1 + ai

3b + 15i + 2bi + 10i² = - 1 + ai ==> 3b + 15i + 2bi + 10(-1) = - 1 + ai

3b + 15i + 2bi - 10 = - 1 + ai ==> 3b - 10 + ( 15 + 2b )i = - 1 + ai

3b - 10 = - 1
15 + 2b = a
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3b - 10 - 1==> 3b = 10-1==> 3b=9==>b = 3

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a = 15 + 2b ==> a = 15 + 2(3) ==> a = 15+6 ==> a = 21
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S = [( 21, 3 )}