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User:Piphi/AoPS Wiki

< User:Piphi
Revision as of 21:10, 2 June 2020 by Piphi (talk | contribs)
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 $|a+b+c|$.

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