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|x + yi| = sqrt(a^2 + b^2)

|aw + b| = sqrt(a^2 w^2 + b^2) = 1

a^2 w^2 = 0, b^2 = 1

a = 0, b = 1 or -1

 

Two solutions: (a,b) = (0,1) and (a,b) = (0,-1)

 Dec 8, 2020

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