Divide and simplify to the form a+bi.

Question

(-8+i)/(2-3i)


Is the answer (23/13)+(43/13)i

Answer 1

(-8+i)/(2-3i) * (2+3i)/(2+3i)
= (-16 -24i +2i +3i^2)/(4-9i^2)
= (-19 -22i)/13 or -19/13 - 22i/13