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

Question

asked Apr 2, 2019 39.1k views

2 Answers

Thomas Decaux · Answer 1 · 2019-04-08T01:46:01+0000

Answer:

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)