Solving Complex Function for multiple solutions

[eatsleep]

1. Find all the solutions to the equation z^4 + j^4 = 0



2. z^n = |a|e^j(Θ + 2pik)



3. I really don't know where to start, I thought about j^4 = 1, so z^4=-1. I then simplified to conclude that z^4 = -e^jpi. I am not sure if that is correct and if it is what to do next.

 

[mfb]

You can write z in polar coordinates, too, and solve for r and possible values of Θ.