Divide the complex numbers and express your answer in the fo

Divide the complex numbers and express your answer in the form (a + bi). 3 - 4i/8 + 2i

Solution

(3-4i)/(8+2i)
rationalise
= (3-4i)(8-2i) / {(8+2i)(8-2i)}
= (24 + 8 -32i -6i)/(8^2 + 2^2)
= (32 - 38i)/(68)
=(8/17) - (19/34)i

This is a+bi representation
a = 8/17
b = -19/34