Posted by **Oian** on Friday, April 5, 2013 at 8:43pm.

Suppose z=a+bi, where a and b are integers and i is the imaginary unit. We are given that |1+iz|=|1−iz| and |z−(13+15i)|<17. Find the largest possible value of a+b.

i is the imaginary unit, where i^2=−1.

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