Difference between revisions of "2014 AIME I Problems/Problem 14"
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== Problem 14 == | == Problem 14 == | ||
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| + | Let <math>m</math> be the largest real solution to the equation | ||
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| + | <math>\frac{3}{x-3}+\frac{5}{x-5}+\frac{17}{x-17}+\frac{19}{x-19}=x^2-11x-4</math> | ||
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| + | There are positive integers <math>a</math>, <math>b</math>, and <math>c</math> such that <math>m=a+\sqrt{b+\sqrt{c}}</math>. Find <math>a+b+c</math>. | ||
== Solution == | == Solution == | ||
Revision as of 17:27, 14 March 2014
Problem 14
Let 
be the largest real solution to the equation
There are positive integers 
, 
, and 
such that 
. Find 
.
