Question

efetue a divisao do numero complexo a) 2+i÷2-i

Answer 1

$\frac{2+i}{2-i}=\\\\\frac{2+i}{2-i}* \frac{2+i}{2+i}\\\\ \frac{2^2+4i+i^2}{4-i^2}\\\\ \frac{4+4i-1}{4-(-1)}\\\\ \frac{3+4i}{4+1}=\\\\ \frac{3+4i}{5}=\\\\ \frac{3}{5}+ \frac{4i}{5}$