As maintainer of Racket's math library, I sometimes put my numerical methods knowledge to a practical test. For example, a few days ago, I took a look at Racket's quadratic-solutions function, which returns the roots of a quadratic formula. Humorously, I've used the quadratic formula as an example in dozens of talks and in the Herbie paper. Yet it was more complex than I expected! The quadratic formula The quadratic formula returns all roots \(x\) of the equation \(a x^2 + b x + c = 0\). You ...
