Cardano and the cubic Frank Sottile You all know the quadratic formula for the solutions to a quadratic equation. What you may not know is that there is a formula for the solutions to a cubic equation (and also for a quartic equation), due to the Italian mathematicans Tartaglia, Cardano, and Ferraro. I will talk about these formulas, as well as the amazing human story of professional jealousy and intrigue. We will also learn how and why mathematicians became comfortable with `imaginary' numbers.