Question

O valorde (6 + i)/-3i é?
A) -1/3 +2i
B) 3 + 3i
C) -6 + 2i
D) -5 - i
E) 3/2 - 1/2i

Answer 1

Podemos multiplicar numerador e denominador por -3i:

<=> $\frac{(6+i)}{-3i} .\frac{-3i}{-3i}$

<=> $\frac{(6+i).(-3i)}{(-3i)^{2}}$

<=> $\frac{(-18i-3i^{2})}{(-3)^{2}i^{2}}$

<=> $\frac{-18i-(-3)}{-9}$

<=>     $\frac{3-18i}{-9}$

<=>     $\frac{18i-3}{9}$

<=>   $2i-\frac{1}{3}$