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## Homework Statement

Determine the only

*real*values

*a*,

*b*,

*c*, and

*d*such that the equation:

z

has both z^{4}+*a*z^{3}+*b*z^{2}+*c*z+*d*= 0_{1}and z

_{2}as roots.

z

_{1}= 3 + j

z2 = -5 + 5j

## Homework Equations

z = x + yj.

z = |z|e

^{j[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!