SOLUTION: Simplify the following quotient of complex numbers into the form a + bi. -7+6i/9+6i how do u form a bi i dont understand

Question 502373: Simplify the following quotient of complex numbers into the form a + bi.
-7+6i/9+6i
how do u form a bi i dont understand
Answer by geetha_rama(94) (Show Source): You can put this solution on YOUR website!
To express the above in the form of a+bi , multiply and divide the expression by the conjugate of the denominator (9-6i).
(-7+6i)/(9+6i)
=((-7+6i) * (9-6i))/(9+6i)(9-6i)
= (-63+54i + 42i -36i^2)/81 -36i^2
= (-63 +96i+ 36)/81+36 (since i^2 = -1)
= (-27 + 96i)/117
= (-9 + 32i)/39 (divinding by 3)
= -9/39 + 32i/39
= -3/13 + 32i/39
This in the form of a+bi where a = -3/13 and b = 32/39
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