2010 10A 6 · AMC 10 Step by Step

AMC 10 Step by Step

2010 AMC 10AProblem 6P1-10~1 minPrint

Functions Set up the equation/formula and compute; no special trick needed

For positive numbers $x$ and $y$ the operation $x\spadesuit y$ is defined as

$x\spadesuit y = x -\dfrac{1}{y}$

What is $2\spadesuit (2\spadesuit 2)$ ?

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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.