In the questions, `[x]a n d{x}` represent the greatest integer function and the fractional part function, respectively. Solve: `[x]^2-5[x]+6=0.`

In the questions,[x] and {x} represent the greatest integer function and the fractional part function,respectively.If y=3[x]+1=4[x-1]-10, then find the value of [x+2y]

Solve the equation [x]+{-x}=2x, (where [.l and {} represents greatest integer function fractional part function respectively)

If (x)=[x],0<={x}<0.5 and f(x)=[x]+1,0.5<{x}<1 then prove that f(x)=-f(-x) (wherel.] and {.} represent the greatest integer function and the fractional part function, respectively).

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

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

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

If f(x)=[x]^({x}) +{x}^([x]) + sin (pix) , Where [.] and {.} represent the greatest integer function and the fractional part function respectively, then f'(7/2) Is equal to

solve (x-2)[x]={x}-1, (where [x]and{x} denote the greatest integer function less than or equal to x and the fractional part function,respectively).