Question

melissa and tomas are playing a game with complex numbers. if melissa has a score of (5 - 4i) and tomas has a score of (3 + 2i), what is their total score?

(8 - 6i)
(8 + 6i)
(8 - 2i)
(8 + 2i)

Explanation:

⚡ Using what you learned: Introduction to Complex Numbers

Step 1: Set up the sum

To find the total score, add Melissa's score and Tomas's score:

$$ (5 - 4i) + (3 + 2i) $$

Step 2: Combine like terms

Group the real parts together and the imaginary parts together:

$$ (5 + 3) + (-4i + 2i) $$

$$ 8 - 2i $$

Answer:

\( 8 - 2i \)