The equation `x^3-3x+[a]=0,` where [*] denotes the greatest integer function, will have three real and distinct roots if

The equation x^3-3x+[a]=0, where [*] denotes the greatest integer function, will have three real and distinct roots then range of a is

Solve the equation [x]=x, where [] denote the greatest integer function.

If [x]^(2)-3[x]+2=0 where [*] denotes the greatest integer function, then

Evaluate int_(0)^(3) [x]dx ,where [.] denotes the greatest integer function.

The function, f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

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

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

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

The period of 3x - [3x] is (where [.] denote greatest integer function le x )