Interesting that you should ask that, since I was actually working on root finding algorithms, including the quadratic case explicitely.
Since this is one of those classic cases where there exists a well known explicit school book formula, but which is unfortunately numerically not the most robust one, there will be an explicit algorithm available in one of the next releases.
Of course it would also be interesting to compare my approach with yours, so we end up with the better algorithm in the end.