Question

coloque na forma a+bi o numero complexo z= 7+5i/1+i + (i-raiz de 3)³

Answer 1

Olá, Rayar.

$z= \frac{7+5i}{1+i} + (i-\sqrt3)\³=\frac{(7+5i)(1-i)}{(1+i)(1-i)} + i^3-3i^2\sqrt3+3i\cdot3-3\sqrt3=\\\\ =\frac{7-7i+5i-5i^2}{1-i^2} + i^2\cdot i+\diagup\!\!\!\!3\sqrt3+9i-\diagup\!\!\!\!3\sqrt3=\\\\=\frac{12-2i}2-i+9i=6-i+8i=\boxed{6+7i}$