Solution of the Cubic Equation

Solving cubic equations The history of every discipline is full of interesting stories and side jobs; however, the development of expressions to solve cubic equations must be one of the most exciting expressions in the world of mathematics. Despite the existence of quadratic equations from the Babylonian period to the 16th century, no mathematician found a general solution to all cubic equations. Before reaching the perfect solution, some people contributed to different parts of the picture (formulations of various types of cubes); these included Scipione dal Ferro, Nicolo Tartaglia, Girolamo Cardan and Lodovico Ferrari .

Complex figures were first explained by Gerolamo Cardano (Italian mathematician). He called it "fiction" and tried to find a solution to the cubic equation. The solution of a cubic equation with a trigonometric fundamental function includes that. This may require some calculations involving the square root of a number including negative numbers. Crow genus irreducibilis. This eventually reaches the algebraic proposition. This indicates that the complex solution is described by each polynomial of degree 1 or higher. Therefore, plural forms an area of ​​algebraic volts. There, arbitrary polynomials are included in the root.

In the 12th century, Sharaf al-Dīnal-Tūsī (1135-1213) wrote Al-Mu'adalat (equation theory). It deals with eight cubic equations with positive solutions and five cubic equations that may not exist. He approximates the root of the cubic equation later using the value called "Ruffini-Horner method". He also developed the concept of the maximum and minimum of the curve to solve a cubic equation which may not have a positive solution. He understood the importance of the cubic equation discriminant and used an earlier version of the Cardano equation to find an algebraic solution of a particular type of cubic equation. Some scholars like Roshdi Rashed believe that Sharaf al-Din discovered the derivative of the third order polynomial and found out its meaning, but other scholars believe his solution to Euclid and Archimedes' idea We have combined it.

Most algebra focus on equations, identities and equations, and I am interested in the latter. The special form of the equation is a cubic equation, commonly called a cubic equation. Early Greeks and Indians made major progress in dealing with these problems, but most cubic equations we know have started in the 15th century. . Our job is to solve all types of cubic equations.