Cardano's Formula
Cardano's Formula is a mathematical solution for finding the roots of cubic equations. Named after the Italian mathematician Gerolamo Cardano, it provides a systematic way to solve equations of the form ax^3 + bx^2 + cx + d = 0 . The formula involves complex numbers and can yield real or complex roots depending on the coefficients.
The formula is derived from the general theory of polynomial equations and is significant in algebra. It allows mathematicians to express the roots in terms of the coefficients, making it easier to analyze and understand the behavior of cubic functions.