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2005 AMC 10AProblem 10P1-10~2 minPrint
QuadraticsApply an identity: SFFT, sum of squares, difference of cubes, Vieta

There are two values of aa for which the equation 4x2+ax+8x+9=04x^2 + ax + 8x + 9 = 0 has only one solution for xx . What is the sum of those values of aa ?

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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.