Question

Calcule o quociente de (3 + 2i) por (4 - 3i)

Answer 1

 $k = \frac{3+2i}{4-3i}$
$k = \frac{3+2i}{4-3i} . \frac{4+3i}{4+3i}$
$k = \frac{(3+2i).(4+3i)}{4^2-3^2.i^2}$
$k = \frac{12+9i+8i+6i^2}{25}$
$k = \frac{6+17i}{25}$

Answer 2

Resposta:

calculando  

(3 + 2i)(4 - 3i)/(4 + 3i)(4 + 3i)

(12 + 9i + 8i + 6i²)/(16 + 12i - 12i - 9i²)

12 + 17i + 6i / 16 - 9i²                                       i²=-1

12 + 17i - 6 / 16 + 9

6 + 17i / 16+9

6 + 17 / 25

Explicação passo a passo: