Cardano's formula is a mathematical solution used to find the roots of cubic equations. Named after the Italian mathematician Gerolamo Cardano, this formula provides a systematic way to solve equations of the form ax^3 + bx^2 + cx + d = 0. It involves substituting values into a specific equation to simplify and find the roots, which can be real or complex numbers. The formula is significant in algebra as it extends the methods used for solving quadratic equations. By using Cardano's formula, mathematicians can tackle more complex polynomial equations, enhancing our understanding of higher-degree functions and their applications in various fields, including physics and engineering.