SOLUTION: need to find the quotient of the complex numbers (-5+i)/(-7+ i)

Question 456348: need to find the quotient of the complex numbers (-5+i)/(-7+ i)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
need to find the quotient of the complex numbers (-5+i)/(-7+ i)
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That is the quotient.
You can "rationalize" it, get the i out of the denominator.
Multiply NUM and DEN by the conjugate of the DEN -7-i
(-5+i)/(-7+ i)
= (-5+i)*(-7-i)/((-7+ i)*(-7-i))
= (35 -12i +1)/(49 + 1)
= (36 - 12i)/50
= (18 - 6i)/25

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