Finding real numbers in equations containing complex numbers
Ok, teacher gave us a quick exercise overnight, to help with tomorrow's work. Was 2 parts, I've done the first and I'm sure it's right, I just have no clue where to start the second.
A) Find the real numbers p and q where :
p+q+i(p-q) = 4+2i
So, we know i(p-q) has to be the +2i part, and p+q has to be 4 -
p - q = 2 and p + q = 4
The second one is -
Now, I've scribbled out a lot so far. I started by expanding all the brackets, leaving -
Which has no like terms at all. So I tried re-arranging to get p on it's own -
But that just makes me even more confused. Anyone know if I'm on the right path?