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2002 AMC 10AProblem 2P1-10~1 minPrint
FunctionsFractions & DecimalsSet up the equation/formula and compute; no special trick needed

Given that a, b, and c are non-zero real numbers, define (a,b,c)=ab+bc+ca(a, b, c) = \frac{a}{b} + \frac{b}{c} + \frac{c}{a} , find (2,12,9)(2, 12, 9) .

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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.