A question from the Russian/Soviet Math Olympiad

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slayer16
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Hey guys. I got a book that has selected problems/questions the from Russian/Soviet Math Olympics. Anyhow, I'm having trouble with a particular question that involves a quartic equation that, up to my knowledge, can't be factored. I was wondering if there are any tips or methods to solve for them. I have also been doing some research about solving quartic equations, and supposedly you need two equations.
 

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Giving us the question would be a good start :-p