Difference between revisions of "2020 AMC 12A Problems/Problem 25"
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Revision as of 22:39, 1 February 2020
Problem 25
The number 
, where 
and 
are relatively prime positive integers, has the property that the sum of all real numbers 
satisfying
![\[\lfloor x \rfloor \cdot \{x\} = a \cdot x^2\]](http://latex.artofproblemsolving.com/a/9/5/a95aa4f158b60762ff263f7d5cf9b7be78e872c1.png)
is 
, where 
denotes the greatest integer less than or equal to and 
denotes the fractional part of . What is 
?
Solution 1
See Also
| 2020 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 24 |
Followed by Last Problem |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
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