Question

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

Answer 1

Answer:

B (3 - i)

Step-by-step 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)

$\frac{8-6i}{3-i} *\frac{3+i}{3+i}$

$(3-i)(3+i)=9-i^{2}$

$i^{2}=-1$

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 $\frac{30-10i}{10} =\frac{30}{10}-\frac{10i}{10} = 3 - i$

The correct answer is B