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2015 AMC 10BProblem 14P11-15~3 minPrint
QuadraticsAlgebraic ManipulationApply an identity: SFFT, sum of squares, difference of cubes, VietaConsider the largest/smallest element or boundary case

Let aa , bb , and cc be three distinct one-digit numbers. What is the maximum value of the sum of the roots of the equation (x−a)(x−b)+(x−b)(x−c)=0(x-a)(x-b)+(x-b)(x-c)=0 ?

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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.