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2007 AMC 10AProblem 2P1-10~1 minPrint
FunctionsSet up the equation/formula and compute; no special trick needed

Define a@b=ab−b2a@b = ab - b^{2} and a#b=a+b−ab2a\#b = a + b - ab^{2} . What is 6@26#2\frac {6@2}{6\#2} ?

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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.