SOLUTION: I am having trouble with this complex number question, finding the reciprocal of this (3-i)/2

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Question 1026767: I am having trouble with this complex number question, finding the reciprocal of this (3-i)/2
Found 2 solutions by macston, MathTherapy:
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
Reciprocal: reverse numerator and denominator:
For (3-i)/2, reciprocal is 2/(3-i).
.
To simplify denominator multiply by conjugate.
Conjugate of (3-i)=(3+i)
.
Reciprocal=
Reciprocal==
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I am having trouble with this complex number question, finding the reciprocal of this (3-i)/2
Now that's better. This is much, much clearer now!

 

 ------- Reciprocal

 ---- Rationailizing denominator by multiplying fraction by the conjugate of the denominator





 ------ Replacing  with - 1





 ------>  ------>  

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