Barry M. answered 01/08/20
Professor, CalTech Grad; Many Years Tutoring Math, SAT/ACT Prep, Chem
Looks like 2 different answers. So I'll take a shot at it.
Referring to Julian's answer, the 2nd expression should be 16 + 1 in the denominator, not 4 + 1.
That gives (25 + 19i)/17 = 25/17 + (19/17)i
So now there are 3 answers!!!
Julian O.
02/13/20
Barry M.
In retrospect, it's not really clear if the student posted the problem correctly. It could very well be that the problem had 7 and 3i in a numerator, as in my fist solution and Julian's revised solution, but we really don't know. It could have been as posted, in which case my retraction and John's answer would still hold.02/13/20
Barry M.
I have to retract this answer, since 7 + 3i and 4-i were not in ( ). You first divide 3i/4, then add and subtract the other terms.01/08/20