Solve the equation

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Solve the equation ⌈x⌉2=⌊x⌋2+2x\lceil x\rceil^2=\lfloor x\rfloor^2+2x, where ⌊x⌋\lfloor x\rfloor and ⌈x⌉\lceil x\rceil are the greatest integer less than or equal to xx and the least integer greater than or equal to xx, respectively.

Related theory

Browse the problem library