Question

Rezolvati ecuatiile: [x] + [x+1] + [x+2] =24
{x} =1/3
Va ROOG!!

Answer 1

[x]+[x+1]+[x+2]=24

Ne folosim de faptul ca [x+k]=[x]+k, k ∈ Z

[x]+[x]+1+[x]+2=24

3*[x]+3=24

3*[x]=21

[x]=7

x∈[7,8)

{x}=1/3

x=k+1/3= (3k+1)/3 , k∈ Z