AMC 10 Step by Step

2002 AMC 10BProblem 10P1-10~2 minPrint

Quadratics Apply an identity: SFFT, sum of squares, difference of cubes, Vieta

Suppose that $a$ and $b$ are nonzero real numbers, and that the equation $x^2 + ax + b = 0$ has solutions $a$ and $b$ . Then the pair $(a,b)$ is

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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. Also appeared as 2002 12B #6.