User:Aops-g5-gethsemanea2/AoPS Wiki

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Problem of the Week

1991 AIME, Problem 7

Find $A^2_{}$ , where $A^{}_{}$ is the sum of the absolute values of all roots of the following equation:

$x = \sqrt{19} + \frac{91}{{\sqrt{19}+\frac{91}{{\sqrt{19}+\frac{91}{{\sqrt{19}+\frac{91}{{\sqrt{19}+\frac{91}{x}}}}}}}}}$

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It is Monday July 29, 2024, 23:00 (GMT).
There have been 225,701 edits to 10,177 articles since January, 2006.

3,114 files have been uploaded. There are 235,564 users registered.

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