Difference between revisions of "1999 AIME Problems/Problem 3"

 
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== Problem ==
 
== Problem ==
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Find the sum of all positive integers <math>\displaystyle n</math> for which <math>\displaystyle n^2-19n+99</math> is a perfect square.
  
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
 
== See also ==
 
== See also ==
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* [[1999_AIME_Problems/Problem_2|Previous Problem]]
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* [[1999_AIME_Problems/Problem_4|Next Problem]]
 
* [[1999 AIME Problems]]
 
* [[1999 AIME Problems]]

Revision as of 00:43, 22 January 2007

Problem

Find the sum of all positive integers $\displaystyle n$ for which $\displaystyle n^2-19n+99$ is a perfect square.

Solution

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See also