Difference between revisions of "1991 AIME Problems/Problem 7"
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== Problem == | == Problem == | ||
| + | Find <math>A^2_{}</math>, where <math>A^{}_{}</math> is the sum of the absolute values of all roots of the following equation: | ||
| + | <center><math>x = \sqrt{19} + \frac{91}{{\displaystyle \sqrt{19}+\frac{91}{{\displaystyle \sqrt{19}+\frac{91}{{\displaystyle \sqrt{19}+\frac{91}{{\displaystyle \sqrt{19}+\frac{91}{x}}}}}}}}} | ||
| + | </math></center> | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=1991|num-b=6|num-a=8}} | |
Revision as of 02:22, 2 March 2007
Problem
Find 
, where 
is the sum of the absolute values of all roots of the following equation:
Solution
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See also
| 1991 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
