Q:

Find the quotient. Show all work for full credit. 4+2i/6-i

Accepted Solution

A:
Multiply top and bottom of the fraction by the conjugate of 6 - i:-

(4 + 2i)(6 + i)         24 + 16i - 2            22 + 16i 
-----------------  =     ----------------  =       -----------
(6 - i)(6 + i)             36 - (-1)                    37