If f(x)=[x]^2-30[x]+221=0 , where [x] is the greatest integer function, then what is the sum of all integer solutions?

Step-by-step solution

We are given. aligned & f(x)=[x]^2-30[x]+221=0 & [x]= 30 900-884 2 = 30 4 2 & [x]=17 or 13 aligned Integral value of x and 17 and 13. Sum of integral solution of f(x)=30 .