Question

Resolva as atividades de divisão de números complexos

a) ( 7 + 3i) : ( 4 – 2i)
b) ( 10 + 2i ) : ( -3 + 4i)
c) ( -4 – 3i ) : ( 2 + 7i)
COM CÁLCULOS POR FAVOR

Answer 1

a)

$\mathtt{ \frac{7 + 3i}{4 - 2i} = \frac{(7 + 3i)}{(4 - 2i)}.\frac{(4 + 2i)}{(4 + 2i)}} \\\mathtt{\frac{22}{20} + \frac{26}{20}i = \frac{11}{10} + \frac{13}{10}i}$

b)

$\mathtt{\frac{10 + 2i}{ - 3 + 4i} = \frac{(10 + 2i)}{( - 3 + 4i)}. \frac{( - 3 - 4i)}{( - 3 - 4i)} } \\\mathtt{ \frac{ - 22 - 46i}{25} = - \frac{22}{25} - \frac{46}{25}i}$

c)

$\mathtt{ \frac{ - 4 - 3i}{2 + 7i} = \frac{(-4 - 3i)}{(2 + 7i)} \frac{(2 - 7i)}{(2 - 7i)} } \\\mathtt{ \frac{ - 29 }{ - 3} + \frac{22}{ - 3}i } \\\mathtt{ \frac{29}{3} - \frac{22}{3} i}$