Difference between revisions of "1991 AIME Problems/Problem 8"

 
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== Problem ==
 
== Problem ==
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For how many real numbers <math>a^{}_{}</math> does the quadratic equation <math>x^2 + ax^{}_{} + 6a=0</math> have only integer roots for <math>x^{}_{}</math>?
  
 
== Solution ==
 
== Solution ==
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{{solution}}
  
 
== See also ==
 
== See also ==
* [[1991 AIME Problems]]
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{{AIME box|year=1991|num-b=7|num-a=9}}

Revision as of 01:23, 2 March 2007

Problem

For how many real numbers $a^{}_{}$ does the quadratic equation $x^2 + ax^{}_{} + 6a=0$ have only integer roots for $x^{}_{}$?

Solution

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See also

1991 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions