170133
AssignmentMultiple Choice

Add and Subtract Complex Numbers

Question 170133 • NC-Math 4 CR

Let z = 1 + 3i and w − z = − 3 − 4i. What is w?

Answer
A
–2 + i
B
–2 – i
C
4 – 7i
D
4 + 7i

Explanation

Since w − z = −3 − 4i, add z to both sides to get w = z + (−3 − 4i). Substitute z = 1 + 3i: w = (1 − 3) + (3i − 4i) = −2 − i. Therefore, the correct choice is B, −2 − i.

AI-written and checked against the verified answer.

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