Question

What is the quotient of complex numbers below? QUESTION IS IN THE PICTURE PLEASE HELP

Answer 1

B (3 - i)

Explanation:

To find the quotient of the complex numbers you must multiply the numerator and the denominator by the conjugate of the denominator

Example: The conjugate of (3 - i) is (3 + i)

`(8-6i)/(3-i) *(3+i)/(3+i)`

`(3-i)(3+i)=9-i^(2)`

`i^(2)=-1`

So
`(3-i)(3+i)=9--1=10`

Denominator= 10

`(8-6i)(3+i)=24+8i-18i-6i^(2)`

`24-10i-6i^(2) =24-10i-6(-1)=24-10i+6=30-10i`

Numerator = 30 - 10i

Then
`(30-10i)/(10) =(30)/(10)-(10i)/(10)  = 3 - i`

The correct answer is B