2011-03-26, 08:04 PM
You're dividing by (sqrt(a) + sqrt(b))=0
edit: ninja'd due to me thinking it was the squaring step not being reversible (skimmed it at first)
edit2: the solution assuming sqrt function gives only N*cis [0,180) in complex plane is: a = b = 0 (N*cis theta in [180,360) = -1*N*cis (theta - 180) which has the same square).
edit: ninja'd due to me thinking it was the squaring step not being reversible (skimmed it at first)
edit2: the solution assuming sqrt function gives only N*cis [0,180) in complex plane is: a = b = 0 (N*cis theta in [180,360) = -1*N*cis (theta - 180) which has the same square).