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Mock AIME 3 2006-2007 Problems/Problem 4

Revision as of 22:29, 15 February 2015 by Yimingz89 (talk | contribs) (Created page with "== Problem == Let <math>x=(i-11)(i-10)....(i+8)(i+9)</math> where <math>i=\sqrt{-1}</math>. If <math>a</math> and <math>b</math> are positive integers such that <math>x(a-bi)</ma...")
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Problem

Let $x=(i-11)(i-10)....(i+8)(i+9)$ where $i=\sqrt{-1}$. If $a$ and $b$ are positive integers such that $x(a-bi)$ is an integer, then find the minimum value of $a+b$


Solution

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