Difference between revisions of "1987 AIME Problems/Problem 12"
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== Problem == | == Problem == | ||
| − | + | Let <math>\displaystyle m</math> be the smallest integer whose cube root is of the form <math>\displaystyle n+r</math>, where <math>\displaystyle n</math> is a positive integer and <math>\displaystyle r</math> is a positive real number less than <math>\displaystyle 1/1000</math>. Find <math>\displaystyle n</math>. | |
== Solution == | == Solution == | ||
| − | + | {{solution}} | |
== See also == | == See also == | ||
* [[1987 AIME Problems]] | * [[1987 AIME Problems]] | ||
{{AIME box|year=1987|num-b=11|num-a=13}} | {{AIME box|year=1987|num-b=11|num-a=13}} | ||
Revision as of 00:55, 11 February 2007
Problem
Let 
be the smallest integer whose cube root is of the form 
, where 
is a positive integer and 
is a positive real number less than 
. Find .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1987 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
