Difference between revisions of "1984 AIME Problems/Problem 12"
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== Problem == | == Problem == | ||
| + | A function <math>\displaystyle f</math> is defined for all real numbers and satisfies <math>\displaystyle f(2+x)=f(2-x)</math> and <math>\displaystyle f(7+x)=f(7-x)</math> for all <math>\displaystyle x</math>. If <math>\displaystyle x=0</math> is a root for <math>\displaystyle f(x)=0</math>, what is the least number of roots <math>\displaystyle f(x)=0</math> must have in the interval <math>\displaystyle -1000\leq x \leq 1000</math>? | ||
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== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 01:30, 21 January 2007
Problem
A function 
is defined for all real numbers and satisfies 
and 
for all 
. If 
is a root for 
, what is the least number of roots must have in the interval 
?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
