Difference between revisions of "1989 AIME Problems/Problem 4"
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== Problem == | == Problem == | ||
| + | If <math>a<b<c<d<e^{}_{}</math> are consecutive positive integers such that <math>b+c+d^{}_{}</math> is a perfect square and <math>a+b+c+d+e^{}_{}</math> is a perfect cube, what is the smallest possible value of <math>c^{}_{}</math>? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| + | * [[1989 AIME Problems/Problem 5|Next Problem]] | ||
| + | * [[1989 AIME Problems/Problem 3|Previous Problem]] | ||
* [[1989 AIME Problems]] | * [[1989 AIME Problems]] | ||
Revision as of 21:56, 24 February 2007
Problem
If 
are consecutive positive integers such that 
is a perfect square and 
is a perfect cube, what is the smallest possible value of 
?
Solution
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