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

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

bananakingdoof

29.01.2022

the answer is C

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itujggkmjf8067

29.01.2022

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:

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

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MulletStaton3283

16.09.2021

Gross annual income is the amount of money a person earns in one year before taxes and includes income from all sources.

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