A new approach to solving the cubic: Cardan's solution revealed

• revision - matière potentielle : the original article

A new approach to solving the cubic: Cardan's solution revealed 1 RWD Nickalls 2 The Mathematical Gazette (1993); 77 (Nov, No 480), 354–359 (jstor) 1 Introduction The cubic holds a double fascination since not only is it interesting in its own right, but its solution is also the key to solving quartics 3. This article describes five fundamental parameters of the cubic (, , ℎ, and ), and shows how they lead to a significant modification of the standard method of solving the cubic, generally known as Cardan's solution.

• geometry of the discriminant of a polynomial
• rwd nickalls
• coordinates of the turning points
• discriminant
• standard method
• roots
• cos
• sin
• point