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## Question Explanations For

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*Additional Topics (Complex Numbers)*

1 2 3 4 5 6 7 8 910

## 3.

The Correct Answer is (B) —
We can solve this problem by adding like terms, which means adding the integers and imaginary numbers separately: (8+2i) + (2+8i) = 8 +2 +2i +8i = 10 + 10i. The correct answer choice is (B).

## 4.

The Correct Answer is (B) —
In order to solve this problem, we need to first simplify the numerator by turning it into imaginary number form: . Divide this number by 2i, and recall from the question that 5= 3w Divide both sides by 3 to get, and we have our answer: w= 5/3. The correct answer choice is B.

## 8.

The Correct Answer is (4) —
In order to solve this problem, we need to first simplify the left side of the equation: (49 - 2i) - (48 - i) = 1 - i. Now, we can solve for x: 1 - i = (x -4i)/4, therefore 4 - 4i = x - 4i, therefore 4 = x.

## 9.

The Correct Answer is (1) —
We can solve this problem by foiling the left side of the equation and then solving for x: (1 + i)(1- i) = 2 = 2x, therefore x = 1.