Question

Efetuar a divisão do número complexo
$5 + 6i \\ 2 + 2i$

Answer 1

$\frac{5+6.i}{2+2.i}\\\\\frac{5+6.i}{2+2.i}.\frac{2-2.i}{2-2.i}\\\\\frac{(5+6.i).(2-2.i)}{2^2-(2.i)^2}\\\\\frac{10+12.i-10.i-12.i^2}{4-4.i^2}\\\\\frac{10+2.i-12.(-1)}{4-4.(-1)}\\\\\frac{22+2.i}{8}\\\\\frac{11+i}{4}\\\\\frac{11}{4}+\frac{1}{4}.i$

Dúvidas só perguntar!

Answer 2

Resposta:

Explicação passo-a-passo:

5+6i/2+2i

(5+6i)×(2-2i)/(2+2i)*(2-2i)

(10-10i+12i-12ii)/(4-4i+4i-4ii)

(10+2i-12ii)/(4-4ii)

5+6i/2+2i

11/4+i/4