Difference between revisions of "2021 AIME I Problems/Problem 8"
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==Problem== | ==Problem== | ||
| − | + | Find the number of integers <math>c</math> such that the equation<cmath>\left||20|x|-x^2|-c\right|=21</cmath>has <math>12</math> distinct real solutions. | |
==Solution== | ==Solution== | ||
Revision as of 16:48, 11 March 2021
Problem
Find the number of integers 
such that the equation![\[\left||20|x|-x^2|-c\right|=21\]](http://latex.artofproblemsolving.com/1/3/b/13b10a3d88db47a7d7dc0b6c5b26b32aac2e94e3.png)
has 
distinct real solutions.
Solution
See also
| 2021 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
