Difference between revisions of "2020 AMC 10B Problems/Problem 24"
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==Solution== | ==Solution== | ||
Wolfram Alpha shows that there must be <math>6</math> solutions: <math>n=400, 470, 2290, 2360, 2430, 2500</math> | Wolfram Alpha shows that there must be <math>6</math> solutions: <math>n=400, 470, 2290, 2360, 2430, 2500</math> | ||
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That doesn't count. -QuadraticFunctions | That doesn't count. -QuadraticFunctions | ||
Revision as of 21:08, 7 February 2020
Problem
How many positive integers 
satisfy![\[\dfrac{n+1000}{70} = \lfloor \sqrt{n} \rfloor?\]](http://latex.artofproblemsolving.com/0/d/d/0dd28ce1709d2e91e3b6ff963c8adf1cac05b9fa.png)
(Recall that 
is the greatest integer not exceeding 
.)
Solution
Wolfram Alpha shows that there must be 
solutions: 
That doesn't count. -QuadraticFunctions
See Also
| 2020 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 23 |
Followed by Problem 25 | |
| 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 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
