AMC 10 Step by Step
2022 AMC 10BProblem 7P1-10~2 minPrint

For how many values of the constant kk will the polynomial x2+kx+36x^{2}+kx+36 have two distinct integer roots?

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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.