Question

Calcule o equociente de (3+2i) por (4-3i) ou seja (3+2i) .
(4-3i)

Answer 1

$\dfrac{(3+2i)}{(4-3i)} =\dfrac{(3+2i)}{(4-3i)}\cdot \dfrac{(4+3i)}{(4+3i)}\Rightarrow \dfrac{12+9i+8i+6i^{2}}{4^{2}-3^{2}i^{2}}\Rightarrow\\ \\ \\\dfrac{12+9i+8i-6}{16-9i^{2}}\Rightarrow \dfrac{12-6+17i}{16+9}\Rightarrow \dfrac{6+17i}{25}$