2014 10B 20 · AMC 10 Step by Step

AMC 10 Step by Step

2014 AMC 10BProblem 20P16-20~3 minPrint

Quadratics Absolute Value & Inequalities Number Properties Apply an identity: SFFT, sum of squares, difference of cubes, Vieta Substitute to simplify (u = x+1/x, shifting, scaling)

For how many integers $x$ is the number $x^4 - 51x^2 + 50$ negative?

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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.