Respuesta :
8-2i is their total score. You can't combine the imaginary numbers and real numbers.
Answer:
Addition of two complex number:
If [tex]z_1 = a+ib[/tex] and [tex]z_2 = c+id[/tex] then;
[tex]z_1+z_2 = (a+c)+i(b+d)[/tex]
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.
[tex]\text{Total score} = \text{ Melissa has a score} + \text{Tomas has a score}[/tex]
then;
[tex]\text{Total score} =(5-4i)+ (3+2i) = (5+3)+i(-4+2) = 8+i(-2) = 8 - 2i[/tex]
therefore, their total score is, 8- 2i
