Complex numbers problem I'm trying to use the relevant rules and definitions but making little progress.


Simplify it in $x,y$ you get two parts i.e. two equations and it's done. $(x+iy)(1+x-iy)+\frac{5.(x).(1+2i)}{5}-2x-4=0+0i$ now we have two equations. The imaginary part and real part ie $(x+x^2+y^2)+x-2x-4=0$ and $ y+xy+2x=0$ two equations two unknowns solve for $x,y$ and you are done with it.
