Question

What is the quotient of the complex number 4-3i divided by its conjugate ?

Answer 1

7/25 - 24/25i

Explanation:

Answer 2

Quotient is
`(7-24i)/(25)`

Explanation:

Given is a complex number as 4-3i

We have to find the quotient when divided by its conjugate

Its conjugate is

`4+3i`

When divided we have

`(4-3i)/(4+3i) =(4-3i)/(4+3i) (4-3i)/(4-3i)`

(to simplify the above)

=
`((4-3i)^2)/(4^2+3^2) \\=(7-24i)/(25)`

Quotient is
`(7-24i)/(25)`