A question from the Russian/Soviet Math Olympiad

slayer16

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.

Mentallic

Giving us the question would be a good start