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User:Piphi/AoPS Wiki

< User:Piphi
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Welcome to Piphi's Wiki!

The Piphi Wiki project is administered by 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 $|a+b+c|$.

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