Question

Numeros complexos


Multiplicação


(4.6 + 0,5i) x (2 - i )


Alguem pode explicar passo a passo por favor ?

Answer 1

$Lembrando~que~~i=\sqrt{-1},~vamos~aplicar~a~propriedade~distributiva:\\\\\\(4.6 + 0,5i)~.~(2 - i )\\\\\\4,6~.~2~+~4,6~.~(-i)~+~0,5i~.~2~+~0,5i~.~(-i)\\\\\\9,2~-~4,6i~+~1i~-~0,5i^2\\\\\\9,2~-~3,6i~-~0,5~.~(-1)\\\\\\9,2~-~3,6i~-~(-0,5)\\\\\\\boxed{9,7~-~3,6i}$