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The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the \(az + b \overline{z} = 38\) form 
for some complex numbers a and b. Find the ordered pair (a,b) .

 Feb 1, 2019
 #1
avatar+24976 
+7

(a,b)=?

1. a(-5+4i)+b(-5-4i)=38

2. a(7+2i)+b(7-2i)=38

=> a=1-6i and b=1+6i

 

laugh

 Feb 1, 2019
 #2
avatar+109519 
+1

Thanks Heureka, I did not know how to do that :)

Melody  Feb 1, 2019

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