3 + 2i 5 - i (2 + 3i) (3 + 2i) + (2 - 3i)(5 - i)
-------- + ---------- = --------------------------------------- =
2 - 3i 2 + 3i (2 - 3i)(2 + 3i)
6 + 4i + 9i - 6 + 10 - 2i - 15i - 3 7 - 4i
= --------------------------------------------- = ---------
4 + 9 13
7 - 4i a
----------- x ---- = 1
13 b
=> a = 13 and b = 7 - 4i
Answer: a = 13 and b = 7 - 4i
