Therealnumbersc,b,aformanarithmeticsequencewitha>b≥c≥0.Thequadraticax2+bx+chasexactlyoneroot.Whatisthisroot?
Problem: The real numbers $c, b, a$ form an arithmetic sequence with $a\ge b\ge c\ge 0$. The quadratic $ax^2+bx+c$ has exactly one root. What is this root?
Using the discriminant, you can work out that the answer is -7 - 4*sqrt(3).