Question

What is the quotient of the complex numbers below?(Urgent ❗️❗️)

Answer 1

Answer:

the answer is C

Answer 2

Answer:

The answer is C.

Step-by-step explanation:

We are given: $\frac{3+2i}{1-5i}$. 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:

$\frac{3+2i}{1-5i} \cdot\frac{1+5i}{1+5i} =\frac{3+15i+2i+10i^2}{1-25i^2}$

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

Thus, we have:

$\frac{3+17i-10}{1-(-25)}=\frac{-7+17i}{26}$

We can split this:

$-\frac{7}{26}+\frac{17}{26}i$