Question

Find the quotient of these complex numbers. (4-i)/(6+5i)

Answer 1

`(19)/(61) -(26)/(61) i`

Explanation:

We have to find the quotient of the following division of complex numbers.

`(4 - i)/(6 + 5i)`

Now,
`(4 - i)/(6 + 5i)`

=
`((4 - i) * (6 - 5i))/((6 + 5i) * (6 - 5i))` { Rationalizing the denominator }

=
`(24 - 5 - 6i - 20i)/(36 + 25)` { Since i = √-1, ⇒ i² = -1 }

=
`(19 - 26i)/(61)`

=
`(19)/(61) -(26)/(61) i` ( Answer )