Question

(UFV - MG) O QUOCIENTE ENTRE OS NÚMEROS COMPLEXOS $\frac{8+i}{1+2i}$ é:
a)2+3i
b)3+2i
c)2-3i
d)3+3i
e)16-2i

Answer 1

$\boxed{i^2=-1}\\\\ \frac{8+i}{1+2i} = \frac{1-2i}{1-2i} = \frac{8-16i+i-2i^2}{1-2i+2i-4i^2} = \frac{10-15i}{5} = \boxed{2-3i}$

Alternativa c) 2-3i