An equation consists of an equal sign and expressions on both sides of the equal sign, and expresses the equal relationship between two or more quantities through the combination of mathematical symbols and operational symbols.
The concept of equation can be traced back to ancient mathematics, which was originally used to solve simple equality problems. With the development of mathematics, the application of equations is more and more extensive, including algebra, geometry, probability statistics and other fields. Now, the equation has become an indispensable part of modern mathematics, and its application has penetrated into many fields such as natural science, engineering and economy.
The essence of the equation is to express an equivalent relationship, which can be the equivalent relationship between known quantities and unknown quantities, or the equivalent relationship between multiple unknown quantities. By solving the equation, the values of these unknown quantities can be obtained, thus solving practical problems.
In modern mathematics, the concept of equation has been further expanded and developed. In addition to traditional algebraic equations, there are various types of equations, such as differential equations, difference equations and integral equations. These equations describe the problems in real life more accurately and effectively, and provide us with more powerful tools to solve practical problems.
Definition of equation:
1, equation: An equation is a mathematical expression that describes the equivalent relationship between two or more quantities. In the equation, we usually use the unknown quantity to represent the unknown quantity, and then find the value of this unknown quantity through the equation. For example, x+5=7 is a simple equation, where x is unknown and the values on both sides of the equal sign are equal.
2. Unknown number: In the equation, the quantity or number whose value we don't know is called "unknown number". These unknowns are usually represented by letters, such as x, y, z, etc. The number of unknowns can be one or more, depending on the complexity of the equation.
3. Solution of the equation: When the unknown value is found and substituted into the equation, the equation becomes an equation, and the value of this equation is called the "solution". For example, for the equation x+5=7, x=2 is a solution of the equation. It is necessary to analyze and simplify the equation or use some mathematical skills to solve it.