Difference between revisions of "2020 CIME I Problems/Problem 4"
(Created page with "==Problem 4== There exists a unique positive real number <math>x</math> satisfying <cmath>x=\sqrt{x^2+\frac{1}{x^2}} - \sqrt{x^2-\frac{1}{x^2}}.</cmath> Given that <math>x</ma...") |
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Revision as of 21:59, 30 August 2020
Problem 4
There exists a unique positive real number 
satisfying ![\[x=\sqrt{x^2+\frac{1}{x^2}} - \sqrt{x^2-\frac{1}{x^2}}.\]](http://latex.artofproblemsolving.com/c/e/5/ce549c814c450bcb941089630021b4b0dd539a02.png)
Given that can be written in the form 
for integers 
with 
, find 
.
Solution
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| 2020 CIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
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| All CIME Problems and Solutions | ||
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