Question

2i + (x + yi) = 6, what is x + yi?

Answer 1

x+yi=complex number

Answer 2

yes

Answer 3

you wanna find x?

Answer 4

and yi

Answer 5

aaah wou wanna find x+yi

Answer 6

yes. I don't unserstand

Answer 7

note x+yi=z
2i+z=6
\[(2i=6-z)|^{2}\] note that i^2=-1
\[-4=36-12z+z^2\]
\[z^2-12z+32=0\]
with the solutions
\[z _{1}=4;z _{2}=8\]

Answer 8

so x+yi can be 4 or 8

Answer 9

I see thank you!