The equation has

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

The equation x2−12x+35=[x]+[−x]x^2-12x+35=[x]+[-x] has, where [x][x] denotes the greatest integer less than or equal to xx: (a) No solution (b) 4 solutions (c) 3 solutions (d) 2 solutions

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