The sum of solutions of the equation `2[x] + x =6{x}` is (where [.] denotes the greatest integer function and {.} denotes fractional part function)

Number of solutions of the equation x^(2)-2=[sinx] , where [.] denotes the greatest integer function, is

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.

Find the number of solution of the equations |cos x |=[x] , (where [.] denotes the greatest integer function ).

Consider the function f(x) = {x+2} [cos 2x] (where [.] denotes greatest integer function & {.} denotes fractional part function.)

Number of solutions of the equation 5{x}=x+[x] and x- [x] = (1)/(2) (where [.] denotes greatest integer function and {x} denotes fractional part of x ) is

Total number of solutions of the equation x^(2)-4-[x]=0 are (where (.) denotes the greatest integer function)

If f(x)=[2x], where [.] denotes the greatest integer function,then

The number of non zero solutions of the equation 3 [x] =5{x}+x; where [.] and {.} denotes the greatest integer function and fractional function respectively is

The equation x^(2)-2=[sin x], where [.] denotes the greatest integer function,has