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2015 AMC 10AProblem 12P11-15~3 minPrint
Algebraic ManipulationQuadraticsApply an identity: SFFT, sum of squares, difference of cubes, Vieta

Points (π,a)(\sqrt{\pi}, a) and (π,b)(\sqrt{\pi}, b) are distinct points on the graph of y2+x4=2x2y+1y^2+x^4=2x^2y+1 . What is ∣a−b∣|a-b| ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.