Question

sendo z1= 2+3i, z2=-1+2i e z3= 1-i. Determine z2 / z3

Answer 1

$\boxed{i^2=-1}$

Multiplicando pelo conjugado...
$\frac{Z_2}{Z_3}= \frac{-1+2i}{1-i}. \frac{(1+i)}{(1+i)} \\\\\frac{Z_2}{Z_3}= \frac{-1-i+2i+2i^2}{1+i-i-i^2}\\\\\frac{Z_2}{Z_3}= \frac{-1+i+2.(-1)}{1-(-1)} \\\\\frac{Z_2}{Z_3}= \frac{-1-2+i}{1+1} \\\\\frac{Z_2}{Z_3}= \frac{-3+i}{2}\\\\\boxed{\frac{Z_2}{Z_3}= - \frac{3}{2} + \frac{1}{2} i}$