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2010 AMC 10BProblem 4P1-10~1 minPrint
FunctionsSet up the equation/formula and compute; no special trick needed

For a real number xx , define ♡(x)\heartsuit(x) to be the average of xx and x2x^2 . What is ♡(1)+♡(2)+♡(3)\heartsuit(1)+\heartsuit(2)+\heartsuit(3) ?

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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.