Difference between revisions of "1984 AHSME Problems/Problem 5"
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Latest revision as of 05:08, 23 February 2023
Problem 5
The largest integer 
for which 
is
Solution
Since both sides are positive, we can take the 
root of both sides to find the largest integer such that 
. Fortunately, this is simple to evaluate: 
, and the largest square less than 
is 
, so the largest is 
.
See Also
| 1984 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
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