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\[\frac{\left(-b_2\right) + \sqrt{b_2 \cdot b_2 - a \cdot c}}{a}\]
\frac{\left(-b_2\right) + \sqrt{b_2 \cdot b_2 - a \cdot c}}{a}
double f(double a, double b_2, double c) {
        double r29419 = b_2;
        double r29420 = -r29419;
        double r29421 = r29419 * r29419;
        double r29422 = a;
        double r29423 = c;
        double r29424 = r29422 * r29423;
        double r29425 = r29421 - r29424;
        double r29426 = sqrt(r29425);
        double r29427 = r29420 + r29426;
        double r29428 = r29427 / r29422;
        return r29428;
}

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (a b_2 c)
  :name "quad2p (problem 3.2.1, positive)"
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))