(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the onlyrealvaluesa,b,c, anddsuch that the equation:

zhas both z^{4}+az^{3}+bz^{2}+cz+d= 0_{1}and z_{2}as roots.

z_{1}= 3 + j

z2 = -5 + 5j

2. Relevant equations

z = x + yj.

z = |z|e^{j[itex]\theta[/itex]}

3. 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!

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# Complex Number equations from roots

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