Se aplica proprietatea partii intregi
[x]≤x≤[x]+1
3x²-2[x]=4, 3x²-4=2[x], [x]=(3x²-4)/2
inlocuim in definitie
(3x²-4)/2≤x≤(3x²-4)/2+1
3x²-4≤2x
3x²-2x-4≤0, x∈ [(1-√13)/3, (1+√13)/3]
2x≤3x²-4x+2
0≤3x²-6x+2, 3x²-6x+2≥0, Δ<0, oricare ar fi x
[x]∈Z, x∈ [(1-√13)/3, (1+√13)/3]∩Z, x=1
