Difference between revisions of "1987 AIME Problems/Problem 5"

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== Problem ==
 
== Problem ==
 
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Find <math>\displaystyle 3x^2 y^2</math> if <math>\displaystyle x</math> and <math>\displaystyle y</math> are integers such that <math>\displaystyle y^2 + 3x^2 y^2 = 30x^2 + 517</math>.
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
 
== See also ==
 
== See also ==
 
* [[1987 AIME Problems]]
 
* [[1987 AIME Problems]]
  
 
{{AIME box|year=1987|num-b=4|num-a=6}}
 
{{AIME box|year=1987|num-b=4|num-a=6}}

Revision as of 23:41, 10 February 2007

Problem

Find $\displaystyle 3x^2 y^2$ if $\displaystyle x$ and $\displaystyle y$ are integers such that $\displaystyle y^2 + 3x^2 y^2 = 30x^2 + 517$.

Solution

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See also

1987 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions