Question

What is the quotient of the complex numbers below?

(Urgent ❗️❗️)

Answer 1

the answer is C

Answer 2

The answer is C.

Explanation:

We are given:
`(3+2i)/(1-5i)`. To find the quotient, simplify it. To do that, multiply by the conjugate of the denominator.

The conjugate of
`1-5i` is
`1+5i.`\

Thus, we have:

`(3+2i)/(1-5i) \cdot(1+5i)/(1+5i) =(3+15i+2i+10i^2)/(1-25i^2)`

Recall that
`i^2` is simply -1.

Thus, we have:

`(3+17i-10)/(1-(-25))=(-7+17i)/(26)`

We can split this:

`-(7)/(26)+(17)/(26)i`