If [x]^2-5[x]+6=0 , where [.] denotes the greatest integer function, then

Step-by-step solution

Given: aligned & [x]^2-5[x]+6=0 & Let [x]= a & a ^2-5 a +6=0 & ( a -2)( a -3)=0 & a =2 or a =3 & [x]=2 or [x]=3 & x [2,3) or x [3,4) & x [2,4) aligned