Question

Escreva os quocientes na forma algebrica 1+2i/3-2i

Answer 1

Resposta:

$-\frac{1}{13}+\frac{8}{13}i$

Explicação passo-a-passo:

$\frac{1+2i}{3-2i}=\frac{(1+2i)(3+2i)}{(3-2i)(3+2i)}=\frac{3+2i+6i+4i^2}{9-4i^2}=\frac{3+8i+4(-1)}{9-4(-1)}=\frac{3-4+8i}{9+4}=\frac{-1+8i}{13}=-\frac{1}{13}+\frac{8}{13}i$