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User:Aops-g5-gethsemanea2/AoPS Wiki




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Welcome to Aops-g5-gethsemanea2's Wiki!

Aops-g5-gethsemanea2's Wiki project is administered by the user Aops-g5-gethsemanea2 for supporting educational content useful to avid math students.

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Problem of the Week

1984 AIME, Problem 12

A function $f$ is defined for all real numbers and satisfies $f(2+x)=f(2-x)$ and $f(7+x)=f(7-x)$ for all $x$. If $x=0$ is a root for $f(x)=0$, what is the least number of roots $f(x)=0$ must have in the interval $-1000\leq x \leq 1000$?

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It is Friday May 10, 2024, 09:53 (GMT).
There have been 220,958 edits to 10,025 articles since January, 2006.

3,017 files have been uploaded. There are 228,692 users registered.

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