SOLUTION: COMPLEX NUMBER If {{{z = a+bi}}} and {{{abs((z-i)/(z+2+i))=3}}}, show that {{{8a^2 + 8b^2 + 36a +20b +44 =0}}} Thanks.

Question 976172: COMPLEX NUMBER
If and , show that
Thanks.
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
COMPLEX NUMBER
If and , show that













Square both sides:









Both sides are differences of squares, so factor:























If you swap 2nd and 3rd terms and multiply through by 4, you get 



Edwin

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