Answer:
[tex]\frac{19}{61} -\frac{26}{61} i[/tex]
Step-by-step explanation:
We have to find the quotient of the following division of complex numbers.
[tex]\frac{4 - i}{6 + 5i}[/tex]
Now, [tex]\frac{4 - i}{6 + 5i}[/tex]
= [tex]\frac{(4 - i) \times (6 - 5i)}{(6 + 5i) \times (6 - 5i)}[/tex] { Rationalizing the denominator }
= [tex]\frac{24 - 5 - 6i - 20i}{36 + 25}[/tex] { Since i = √-1, ⇒ i² = -1 }
= [tex]\frac{19 - 26i}{61}[/tex]
= [tex]\frac{19}{61} -\frac{26}{61} i[/tex] ( Answer )
