Determine the only real values a, b, c, and d such that the equation:
z4+az3+bz2+cz+d = 0has both z1 and z2 as roots.
z1 = 3 + j
z2 = -5 + 5j
z = x + yj.
z = |z|ej[itex]\theta[/itex]
The Attempt at a Solution
I am not sure where to begin. I can convert between Cartesian coordinates and Euler's formula but don't know where to go from there.
Any help would be greatly appreciated!