Solve : `[x]^(2)=x+2{x},` where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

The total number of solutions of [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions,respectively,is equal to: 2 (b) 4 (c) 6 (d) none of these

If f(x)=[x^(2)]+sqrt({x}^(2)), where [] and {.} denote the greatest integer and fractional part functions respectively,then

Solve 2[x]=x+{x}, whre [Phi] and {hat harr} denote the greatest integer function and the fractional part function,respectively.

The range of function f(x)=log_(x)([x]), where [.] and {.} denotes greatest integer and fractional part function respectively

Number of solutions of the equation 2x]-3{2x}=1 (where [.1] and {.} denotes greatest integer and fractional part function respectively

If f(x)=(tanx)/(x) , then find lim_(xto0)([f(x)]+x^(2))^((1)/([f(x)])) , where [.] and {.} denotes greatest integer and fractional part function respectively.

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

Solve the equation [x]{x}=x, where [] and {} denote the greatest integer function and fractional part, respectively.

The number of non differentiability of point of function f (x) = min ([x] , {x}, |x - (3)/(2)|) for x in (0,2), where [.] and {.} denote greatest integer function and fractional part function respectively.