Noodles141
Member
I have been given a question, one that should be fairly simple but I cant seem to figure this one out and not to sure where to start. The question is to solve the equation z^4 = -1 where z is a complex variable. They also state that modulus argument form is needed to solve this. I know this is |z| which is equal to 1 obviously but i don't know where to go from there. I know the answer is +- (1/sqrt(2)) +- (1/sqrt(2))i but that's cause they gave us the answer. i understand that if you apply the modulus form to either of the answers you get 1. What i don't understand is how to get to the answer from z^4 = -1. Not to sure if we're supposed to just see that or if there is a more practical way of solving this that will help me to make sense of it