AMC 10 Step by Step
Log inSign up
2019 AMC 10AProblem 19P16-20~3 minPrint
Algebraic ManipulationAbsolute Value & InequalitiesQuadraticsSubstitute to simplify (u = x+1/x, shifting, scaling)Exploit symmetry to reduce work or pair up objects

What is the least possible value of (x+1)(x+2)(x+3)(x+4)+2019(x+1)(x+2)(x+3)(x+4)+2019 where xx is a real number?

Log in to save your progress.

Similar problems

Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.