Recently, archaeologists unearthed a tablet of an ancient civilization in which the followingproblem was posed:Solve the equation 3x2 − 25x + 66.Farther down the tablet, the solutions x = 4 and x = 9 were offered.What is the base for this civilization’s number system? You can assume that the symbols 2, 3,4, 5, 6, and 9 have the same meaning for this civilization as for us, and that positional notationis used.

I have no idea on how to begin. Could someone please provide some pointers as to how to solve the problem. Thanks!