Question

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

Answer 1

Answer:

7/25 - 24/25i

Step-by-step explanation:

Answer 2

Answer:

Quotient is$\frac{7-24i}{25}$

Step-by-step 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

$\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}$

(to simplify the above)

=$\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}$

Quotient is $\frac{7-24i}{25}$