Question

which addition expression has the sum \\(8 - 3i\\)?

\\((9 + 2i) + (1 - i)\\)
\\((9 + 4i) + (-1 - 7i)\\)
\\((7 + 2i) + (1 - i)\\)
\\((7 + 4i) + (-1 - 7i)\\)

Explanation:

Evaluate the first option

$$ (9 + 2i) + (1 - i) = (9 + 1) + (2 - 1)i = 10 + i $$

Evaluate the second option

$$ (9 + 4i) + (-1 - 7i) = (9 - 1) + (4 - 7)i = 8 - 3i $$

Evaluate the remaining options

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Answer:

• (A) \((9 + 2i) + (1 - i)\)
• (B) \((9 + 4i) + (-1 - 7i)\) (Correct answer)
• (C) \((7 + 2i) + (1 - i)\)
• (D) \((7 + 4i) + (-1 - 7i)\)