Question

sabendo que z=2-3i e w=1+2i, calcule o valor de 1/z.w

Answer 1

$\frac{1}{zw}=\frac{1}{z}.\frac{1}{w}=\frac{1}{(2-3i)}.\frac{1}{(1+2i)}=\frac{1}{(2+4i-3i-6i^2)}=\frac{1}{8+i}=\frac{1}{8+i}.\frac{8-i}{8-i}\\=\frac{8-i}{8^2-8i+8i-i^2}=\frac{8-i}{64+1}=\frac{8-i}{65}$

Answer 2

Resposta:

Explicaçãcalcule z=2+3i e w=1+2i