Pythagoras and Euclid used a strictly geometric approach, and found a general procedure to solve the quadratic equation.
Linear polynomials are easy to solve, but using the quadratic formula to solve quadratic (second degree) equations may require some care to ensure numerical stability.
Schrödinger equation | Nernst equation | Monge–Ampère equation | Boltzmann equation | quadratic formula | Diophantine equation | Quadratic function | Ordinary differential equation | ordinary differential equation | Young–Laplace equation | Wave equation | wave equation | Vlasov equation | Tait equation | Smoluchowski coagulation equation | Sauerbrey equation | Redlich–Kwong equation of state | Ramanujan–Nagell equation | Quadratic equation | Quadratic eigenvalue problem | Quadratic configuration interaction | Prony equation | Pell's equation | Mathieu's equation | Marchenko equation | Majorana's equation | Linear equation | linear equation | Liénard equation | Kepler's equation |
For a recent Engineering project, students learned about mechanics and motion, then constructed a Medieval-style Trebuchet to calculate the trajectory of a ball’s travel from its starting point to its ending point represented by a quadratic equation.