Let `[x]` denote the greatest integer in x. Then in the interval [0, 3] the number of solutions of the equation, `x^2-3x+ [x]=0` is

Let [x] denote the greatest integer function. What is the number of solutions of the equation x^(2)-4x+[x]=0 in the interval [0,2]?

2x^(2) + 3x - alpha - 0 " has roots "-2 and beta " while the equation "x^(2) - 3mx + 2m^(2) = 0 " has both roots positive, where " alpha gt 0 and beta gt 0. Let [x] denote the greatest integar function. What is the number of solutions of the equation x^(2) - 4x+ [x] - 0 " in the interval " [0,2] ?

If [x] denotes the greatest integer le x , then number of solutions of the equation x^(2) - 2 - 2 [x] =0 is

If [x] denotes the greatest integer less than or equal to x, then the solutions of the equation 2x-2[x]=1 are

If [x] denotes the greatest integer less than or equal to x, then the solutions of the equation 2x-2[x]=1 are

If [x] represent the greatest integer less than or equal to x and {x} = x- [x] then find the number of solutions of the equation [x] + 2{-x} = 3x .