2020 10A 5 · AMC 10 Step by Step

AMC 10 Step by Step

2020 AMC 10AProblem 5P1-10~3 minPrint

Absolute Value & Inequalities Quadratics Apply an identity: SFFT, sum of squares, difference of cubes, Vieta Split into exhaustive cases and handle each

What is the sum of all real numbers $x$ for which $|x^2-12x+34|=2?$

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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.