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An equation is an equation that contains unknowns. It is an equation that expresses the equality relationship between two mathematical formulas (such as two numbers, functions, quantities, operations), and the value of the unknown number that makes the equation true is called the "solution" or "root". The process of finding the solution of an equation is called "solving an equation".
By solving the equation, you can avoid the difficulty of reverse thinking, and directly list the equation containing the quantity you want to solve. Equations have a variety of forms, such as unary linear equations, binary linear equations, unary quadratic equations, etc., and can also form a system of equations to solve multiple unknowns.
In mathematics, an equation is a statement that contains an equation of one or more variables. Solving the equation involves determining which values of the variable make the equation true. Variables are also known as unknowns, and the value of the unknowns that satisfies equality is called the solution of the equation. [1]
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The equation was first created by the French mathematician Vedt.
In the sixteenth century, with the advent of various mathematical symbols, the French mathematician Veda created a more systematic symbol for representing unknown and known quantities, and the special concept of "equation containing unknowns" appeared.
History of Equations: 1. About 3,600 years ago.
The ancient Egyptians wrote mathematical problems on papyrus that involved equations with unknowns.
2. Around 825 A.D.
The mathematician Alfarazmi of Central Asia wrote a book called "Elimination and Reduction", which focused on the solution of equations.
3. Song and Yuan dynasties.
Chinese mathematicians founded the "Tian Yuan Shu", which used "Tian Yuan" to represent unknown numbers and then establish equations. The representative work of this method is the "Rounding Sea Mirror" (1248) written by the mathematician Li Ye, in which the "Litian Yuanyi" is equivalent to "setting the unknown number x." Therefore, when abbreviating the equation, the unknown number is called "yuan", such as an unknown number of equations is called "unary equation".
And more than two unknowns were also called "Tian Yuan", "Earth Yuan", and "Human Yuan" in ancient times.
Bai Shangshu commented on the Nine Chapters of Arithmetic and Equations: "'Fang' is square, and 'Cheng' is the meaning of expressing the lesson, or expression. In a problem, if there are several related data, and these related data are arranged side by side in a square, it is called an 'equation'.
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The equation is a French mathematicianVedaFirst.
Born in Poitou, France, in 1540. Died in Paris on December 13, 1603. When he was young, he studied law and became a lawyer, and later engaged in political activities, became a member of parliament, and deciphered the enemy's code during the war against Spain.
Veda was also devoted to the study of mathematics, and was the first to consciously and systematically use letters to represent known numbers, unknowns, and their exponentiations, bringing about major advances in the study of algebraic theory. Huipi.
Main Contributions:Veda's most important contribution was the advancement of algebra, and he was the first to systematically introduce algebraic notation to advance the development of equation theory. Veda uses the word "analysis" to summarize the content and methods of the current era.
He created a large number of algebraic symbols, replaced unknown numbers with letters, and systematically elaborated and improved them.
The solution of the third and fourth order equations points out the relationship between the root and the coefficient. The equation of the difference between the three anterior oranges is given.
Triangulation of irreducible situations. He is the author of "Introduction to Analytical Methods".
On the Identification and Revision of Equations" and many other works.
Because of his many important contributions, Veda became one of the most prominent French mathematicians of the 16th century.
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The origin of the equation is as follows:
As early as 3,600 years ago, the ancient Egyptians wrote mathematical problems on the paper of the straw calendar, which involved equations with unknown numbers in the equations.
Around 825 A.D., Central Asia.
Mathematician Al Khorazmi.
He once wrote a book called "Elimination and Reduction".
focuses on the solution of equations.
The word Chinese for equations comes from the ancient mathematical treatise "Nine Chapters of Arithmetic", the eighth volume of which is called "equations". "Fang" means to be juxtaposed, and "Cheng" means to use calculations.
Indicates vertical type. <>
About the classification of equations:
1. Unary linear equations.
An integer equation that contains only one unknown and the number of unknowns is one is called a one-dimensional equation. The usual form is ax+b=0 (a, b is constant, and a≠0).
2. Binary systems of linear equations.
Definition of binary linear equations: A system of equations composed of two binary linear equations is called a system of binary linear equations.
3. Unary quadratic equations.
An integer equation that contains an unknown number and the highest order of the unknown number is 2 is called a quadratic equation. Rise noise.
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The inventor of the equation was a French mathematicianVeda。Veda was born in 1540 in Poitou, France, in present-day Fontenay, in present-day Vendée-le-comte)。
Died in Paris on December 13, 1603. He studied law at a young age and worked as a lawyer. Later, he became a member of parliament and engaged in political activities.
Historical development of equationsAs early as 3,600 years ago, the ancient Egyptians wrote mathematical problems on papyrus paper that involved equations with unknowns.
Around 825 A.D., Central Asia.
The mathematician Al Khorazmi once wrote a book called "Elimination and Reduction".
focuses on the solution of equations.
The word Chinese for equations comes from the ancient mathematical treatise "Nine Chapters of Arithmetic", the eighth volume of which is called "equations". "Model old side" means juxtaposition, and "cheng" means to use calculations.
Indicates vertical type.
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The origin of the equation is:
The equation was first seen in the ancient Chinese arithmetic book "Nine Chapters of Arithmetic". "Nine Chapters of Arithmetic" is the oldest Chinese mathematical classic compiled in the early years of the Eastern Han Dynasty in China. The book collects 100 solutions to 246 application problems and other problems, divided into nine chapters, and "Equation Laughter" is one of them.
The term "equations" in this chapter refers to a system of primary equations.
In ancient times, it was solved by arranging the arithmetic chips, and the arithmetic chips from the top to the bottom of each row represent the coefficients and constant terms of x, y, and z. Liu Hui, an ancient mathematician in China.
The commentary "Nine Chapters of Arithmetic" says, "Cheng, the course also." Two things are two journeys.
The three things are three journeys, all of which are like the number of things.
Juxtaposed as rows, so it is called an equation. ”
The so-called "as many as things" here means that there are several unknowns and several equations must be listed. The coefficients of the unknowns of a system of equations are like in a square matrix when expressed by chips, so they are called equations.
Relationship between equation and equation:
An equation must be an equation, but an equation is not necessarily an equation. Example: a+b=13 conforms to the equibeam parallel formula, and the rubber ascending trace is unknown.
This is an equation and an equation. 1+1=2 ,100×100=10000。These two equations fit the equation, but there are no unknowns, so neither is an equation.
In the definition, the equation must be an equation, but the equation can have others, such as 1+1=2, 100 100=10000 as mentioned above, all of which are equations, and obviously the range of equations is a little larger.
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The modern equation is a mathematical method created by the French mathematician Veda in the 16th century.
In the early 19th century, the great mathematician Li Shanlan and the British missionary.
Wei Liali, who translated the works of famous foreign mathematicians into China, creatively translated the English word "equation" as "equation" in the "Nine Chapters of Arithmetic".
Nine chapters of arithmetic skill": "Cheng, the course is also, and the two things are two Cheng."
The three things are three journeys, all of which are like the number of things.
Juxtaposition filial piety is the line, so it is called the equation. ”
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High-quality answers. The term equation was first seen in China's ancient arithmetic book "Nine Chapters of Arithmetic" "Nine Chapters of Arithmetic" is an existing version of the Eastern Han Dynasty in China, the oldest Chinese mathematical classic The book collects 246 application problems including the solution of the game and other problems, divided into nine chapters, "equation" is one of the chapters The so-called "equation" in this chapter refers to a system of equations For example, the first problem is actually to solve a system of ternary equations.
In ancient times, it was arranged to solve it with an arithmetic chip, as shown in the figure, the arithmetic chips from top to bottom in the diagram represent the coefficients and constant terms of x, y, and z The ancient Chinese mathematician Liu Hui commented on the "Nine Chapters of Arithmetic" and said, "The course is also two things are two degrees, and three things are three degrees, all of which are like the number of things, and they are listed as lines, so they are called equations" The so-called "such as the number of things" here is to talk about letting a few unknowns must list several equations The coefficients of each unknown in a system of equations are like a square matrix when expressed by a calculation chip, so it is called an equation
The concept of the above-mentioned equations was the first to appear in the "Equations" chapter of the "Nine Chapters of Arithmetic" in the world, and the method of solving the system of equations is not only a great achievement in ancient mathematics in China, but also a very valuable heritage in the history of world mathematics This achievement further proves that the Chinese nation is a great nation full of wisdom and ability
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The term equation was first seen in China's ancient arithmetic book "Nine Chapters of Arithmetic" In 263 A.D., the mathematician Liu Hui's annotation "Nine Chapters of Arithmetic" is an existing biography, the oldest classic work of Chinese mathematics The book collects 246 solutions to application problems and other problems, divided into nine chapters, "equation" is one of the chapters The so-called "equation" in this chapter refers to a system of equations For example, the first problem is actually to solve a system of ternary equations"Equations"The term is a word invented in China, but the equation itself did not originate in China. In the sixteenth century, with the emergence of various mathematical symbols, especially after the French mathematician Veda created a more systematic representation of unknown and known quantities"Equations with unknowns"This specialized concept emerged.
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The equation was first created by the French mathematician Vedt. In the sixteenth century, with the advent of various mathematical symbols, the French mathematician Veda created a more systematic symbol for representing unknown and known quantities, and the special concept of "equation containing unknowns" appeared. Equation History:
1. The mathematical problems written by the ancient Egyptians on papyrus about 3,600 years ago involved equations with unknowns. Eliminate detection.
2. Around 825 A.D., the mathematician Alfarazmi of Central Asia wrote a book called "Elimination and Reduction", which focused on the solution of equations. 3. During the Song and Yuan dynasties, Chinese mathematicians founded the "Tian Yuan Shu", which used the "Sky Xun Yuan" to represent unknown numbers and then establish equations. The representative work of this method is the "Rounding Sea Mirror" (1248) written by the mathematician Li Ye, in which the "Litian Yuanyi" is equivalent to "setting the unknown number x."
Therefore, when abbreviating the equation, the unknown number is called "yuan", such as an unknown number of equations is called "unary equation". And more than two unknowns were also called "Tian Yuan", "Earth Yuan", and "Human Yuan" in ancient times. "Nine Chapters of Arithmetic and Equations" Bai Shangshu Annotation:
Fang' means square, and 'cheng' means to express the meaning of the lesson, or expression. In a problem, if there are several related data, and these related data are arranged side by side in a square, it is called an 'equation'.
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