Art of Problem Solving
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Revision as of 19:21, 29 May 2020

Welcome to Piphi's Wiki!

The Piphi Wiki project is administered by the legendary piphi for supporting educational content useful to avid math students.

Problem of the Week

2010 AIME II, Problem 7

Let $P(z)=z^3+az^2+bz+c$, where $a$, $b$, and $c$ are real. There exists a complex number $w$ such that the three roots of $P(z)$ are $w+3i$, $w+9i$, and $2w-4$, where $i^2=-1$. Find $|a+b+c|$.

Statistics

It is Thursday September 19, 2024, 07:54 (GMT).
There have been 229,319 edits to 10,336 articles since January, 2006.

3,214 files have been uploaded. There are 241,270 users registered.

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