Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Suppose that \( (x + y) + i(x - y) = 4 \), find \( x - y \) in the equation
Options
A \( \frac{4}{i} \)
B 0
Correct Answer
C \( 2i \)
D \( i\sqrt{2} \, i\sqrt{2} \)
Correct Answer

Option B is the correct answer.

Detailed Explanation

For two complex numbers to be equal, the real parts and imaginary parts must be equal. Here, the right-hand side is 4, which is 4 + 0i. So we have: x + y = 4 and x - y = 0. Therefore, x - y = 0.

Hint

Equate real and imaginary parts separately.

Question Info