Question

If x is equal to the imaginary unit (i), what equation does (3 + 4x) + (2 - x) represent?

a) 5 - 3i
b) 5 + 3i
c) 3 + i
d) 3 - i

Answer 1

The equation (3 + 4i) + (2 - i) represents the sum of two complex numbers. The real part of the sum is 5, and the imaginary part is 3i.

Step-by-step explanation:

The equation (3 + 4i) + (2 - i) represents the sum of two complex numbers.

To find the sum, combine the real parts and the imaginary parts separately.

The real part of the sum is 3 + 2 = 5, and the imaginary part is 4i - i = 3i.

Therefore, the equation represents the complex number 5 + 3i, which corresponds to option b.