Historical story of equation
1. About 3600 years ago, the mathematical problems written by ancient Egyptians on papyrus involved equations with unknowns.
2. Around 825 AD, Al-Hua Lazimi, a mathematician in Central Asia, wrote a book called Elimination and Reduction, focusing on solving equations.
3. The concept of "yuan":
During the Song and Yuan Dynasties, Chinese mathematicians founded Tianyuan, which was used to express unknowns and then set up equations. The representative work of this method is the Round Sea Mirror written by mathematician Ye Li (1248), in which "setting a Tianyuan" is equivalent to "setting an unknown x", so when the equation is abbreviated, the unknown is called "yuan". For example, an unknown equation is called "unary equation". In ancient times, more than two unknowns were also called "Tianyuan", "Geo-element" and "Human element".
One of the nine chapters of arithmetic. Notes on the Nine Chapters of Liu Hui written by Ma Yan in the later Han Dynasty: The Nine Chapters of Liu Hui said that the first, the second, the third, the fourth, the fourth, and the fifth, both were lost. Bai Shangshu noted in Nine Chapters of Arithmetic Equation that "Fang" is a square and "Cheng" is an expression or an expression. In a problem, if there are several related data, arrange these related data side by side into a square, which is called' equation'.
Basic meaning
Equation: An equation with an unknown number. That is, there must be an algebraic expression containing one or more unknowns in the ⒈ equation; 2. The equation is an equation, but the equation is not necessarily an equation.
Unknown number: usually x.y.z is unknown, and other letters can be set, all lowercase letters can be used.
"Quadratic": The concept of quadratic in the equation is similar to algebraic expression. It refers to the project with the largest number of unknown projects. The term with the highest degree is the degree of the equation.
"Solution": The solution of the equation refers to all unknowns, and the root of the equation refers to the solution of the unary equation, which can usually be used in general.
Solving an equation: The process of finding the solution of an equation or the value of an unknown quantity in an equation is called solving an equation.
Equation, referred to as equation for short, is an equation with unknown numbers. In the equation, identities are called identities, and contradictions are called contradictory equations. When the unknown is equal to a specific value, it is called a conditional equation, which can make the values on both sides of the equal sign equal. For example, when the equal sign is established, the value of the unknown quantity that makes the left and right sides of the equation equal is called the solution of the equation. The process of finding the solution of the equation or explaining that the equation has no solution is called solving the equation.