Question

Given that (2-3i)a + 3b = 2 + 5i, find the values of a and b such that a and b are conjugate complex numbers.

I know how to solve this for a and b are both real, how would I solve it for complex conjugates?

Thanks.

Answer 1

oh wait that is wrong.

Answer 2

Let a=(x+iy) and b=(x-iy)

Answer 3

Now substitute them to find x and y

Answer 4

let my multiply correctly
oh no, it is right!
\[2a-3ai+3b=2+5i\]
\[(2a+3b)-3ai=2+5i\]

Answer 5

oooooooh i see. a and be themselves are complex numbers. sorry. roshan is right

Answer 6

Oh, right.
Thanks.

Answer 7

The answers are gross >.>

Answer 8

yep