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Revision as of 08:05, 11 August 2020



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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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Statistics

It is Friday September 20, 2024, 21:46 (GMT).
There have been 229,395 edits to 10,337 articles since January, 2006.

3,214 files have been uploaded. There are 241,465 users registered.