Perform the indicated operation. Write the result in the form a + bi.

Question

(8-4i)/(5+7i)

Answer 1

Given that (8 - 4i) / (5 + 7i)

                       [ Multiply by (5 - 7i) on numerator and denominator ]

                 

                    [ Since i^2 = -1 ]

                

                

                

Therefore this is in the form a + bi where a = 12/74 and b = -76/74.