[" 8.If a "in R" and the cquation - "3(x-[x])^(2)+2(x-[x])+a^(2)=0" (where "[x]" deontes the greates integer "],[<=x)" has no integral solution,then all possible values of a lie in the interval: "]

If a in R and the equation (a-2) (x-[x])^(2) + 2(x-[x]) + a^(2) = 0 (where [x] denotes the greatest integer function) has no integral solution and has exactly one solution in (2, 3), then a lies in the interval

If a in R and the equation (a-2) (x-[x])^(2) + 2(x-[x]) + a^(2) = 0 (where [x] denotes the greatest integer function) has no integral solution and has exactly one solution in (2, 3), then a lies in the interval

If a in R and the equation -3(x-[x]^2)+2(x-[x])+a^2=0 (where [x] denotes the greatest integer le x) has no integral solution,then all possible values of a lie in the interval :

The range of the function y=[x^(2)]-[x]^(2)x in[0,2] (where [] denotes the greatest integer function),is

If [log_(2)((x)/([x]))]>=0, where [.] denote the greatest integer function,then

If [log_2 (x/[[x]))]>=0 . where [.] denotes the greatest integer function, then :

The range of the function y=[x^2]-[x]^2 x in [0,2] (where [] denotes the greatest integer function), is

Solve in R: x^2+ 2[x] = 3x where [.] denotes greatest integer function.