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.

Answer 1

8-2i is their total score.  You can't combine the imaginary numbers and real numbers.

Answer 2

Addition of two complex number:

If
`z_1 = a+ib` and
`z_2 = c+id` then;

`z_1+z_2 = (a+c)+i(b+d)`

As per the statement:

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

⇒Melissa has score = 5-4i and

Tomas has score = 3+2i

We have to find their total score.

`\text{Total score} = \text{ Melissa has a score} + \text{Tomas has a score}`

then;

`\text{Total score} =(5-4i)+ (3+2i) = (5+3)+i(-4+2) = 8+i(-2) = 8 - 2i`

therefore, their total score is, 8- 2i