Finding three roots of equation

[mainguy]

1. e^i∏/3z³ = 1/(1+i)


3. Wasn't sure at all how to start...Attempted to rearrange, bringing the exponential to the right and expanding using Euler's theorem, but it didn't work.

I'll be really grateful to anyone generous enough to help :) thanks

 

[Dick]

1. e^i∏/3z³ = 1/(1+i)


3. Wasn't sure at all how to start...Attempted to rearrange, bringing the exponential to the right and expanding using Euler's theorem, but it didn't work.

I'll be really grateful to anyone generous enough to help :) thanks

I would try to express the right side in polar form first. I.e. as a exponential.