[填空题]
Consider $f(x)=x^{2}+b x+c$ , for x $\in \mathbb{R}$ , where b, c $\in \mathbb{Z}$ . The graph of f has a local minimum at x=2.5 . The distance between the two x -intercepts of the graph of f is 7 .
1. Find the coordinates of the two x -intercepts. (a,b) a = b = (c,d) c = d =
2. Find the value of b and the value of c .b = c =