Respuesta :
Answer:
Quotient is[tex]\frac{7-24i}{25}[/tex]
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
[tex]4+3i[/tex]
When divided we have
[tex]\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}[/tex]
(to simplify the above)
=[tex]\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}[/tex]
Quotient is [tex]\frac{7-24i}{25}[/tex]
