Question

$z=\frac{2-3i}{-5+i}$, can be expressed as

• A. $-0.5-0.5i$
• B. $-0.5+0.5i$
• C. $0.5-0.5i$
• D. $0.5+0.5i$

Answer 1

The correct option is B $-0.5+0.5i$

$z=\frac{2-3i}{-5+i}=$$\frac{(2-3i)(-5-i)}{(-5{)}^2-i^2}$
$=\frac{-10-2i+15i-3}{25+1}$
$=\frac{-13+13i}{26}=-0.5+0.5i$