SOLUTION: if a+ib is not a unit in Z[i] prove that (a*a)+(b*b)>1

SOLUTION: if a+ib is not a unit in Z[i] prove that (aa)+(bb)>1

Question 1123423: if a+ib is not a unit in Z[i] prove that (a*a)+(b*b)>1
Answer by Alex.33(110) (Show Source): You can put this solution on YOUR website!
Not sure what Z[i] means...I assume it refers to a certain complex number z, z=a+bi.
Also not sure what "not a unit in" means...I assume it to be like "z is not a unit complex number", which means its magnitute a^2+b^2≠1.
So we can only conclude that a^2+b^2≠1 instead of .
Not sure this solves your prolem but anyways hope it helps. Also next time you can make your question clearer to get better and more accurate responses.
Thanks!
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