Answer:
Option A [tex]-\frac{19}{74}+\frac{71}{74}i[/tex]
Step-by-step explanation:
we know that
To divide complex numbers, you must multiply by the conjugate.
we have
[tex]\frac{-8+3i}{5+7i}[/tex]
To find the conjugate, change the sign between the two terms in the denominator
so
[tex]\frac{-8+3i}{5+7i}(\frac{5-7i}{5-7i})=\frac{-40+56i+15i-21i^{2}}{25-49i^{2}} \\\\=\frac{-40+71i-21(-1)}{25-49(-1)} \\\\=\frac{-19+71i}{74}\\\\=-\frac{19}{74}+\frac{71}{74}i[/tex]
