Vieta's theorem is a mathematical theorem, also known as Veda's formula or Vieta's theorem method, which is used to solve the roots of a quadratic equation with one variable. The relevant knowledge is as follows:

1, this theorem was developed by French mathematician Francois Viete (Fran? Ois Viète) was put forward in his book Identification and Arrangement of Equations.

2. The content of Vieta's theorem is: For any quadratic equation with real coefficients, if the formula ax is used? +bx+c=0(a, b, c are real numbers and a≠0), then the sum of the roots of the equation is equal to the reciprocal of the coefficient of the first term divided by the coefficient of the second term of the equation, that is,-b/a; The product of the roots of the equation is equal to the constant term c/a.

3. This theorem can be used to solve the roots of quadratic equations with one variable, and also to solve some problems related to quadratic equations with one variable. For example, if the sum and product of two roots are known, the coefficient of the equation can be solved by Vieta's theorem. Vieta's theorem can also be used to solve some practical problems, such as series-parallel problems in circuits, images and properties of quadratic functions, etc.

The Concept of Mathematical Theorem and Related Knowledge

1, mathematical theorem is a basic concept in mathematics, which refers to a mathematical proposition and has been proved to be correct. Mathematical theorems are usually used to prove the correctness of other mathematical propositions or solve practical problems.

2. The process of proving mathematical theorems is a rigorous logical reasoning process, which requires the use of some basic mathematical rules and known mathematical facts. The proof methods of mathematical theorems usually include induction, reduction to absurdity and direct proof.

3. Mathematical theorems play a very important role in mathematics. It is the foundation and the key to the development of mathematics. By proving mathematical theorems, we can deeply understand mathematical concepts and ideas, discover new mathematical laws and promote the development of mathematics.

In addition, mathematical theorems are widely used in other fields, such as physics, engineering and economics. In scientific research, industrial production and daily life, we also need to use mathematical theorems to solve various problems. Therefore, it is very important for our study and work to master the proof methods and application skills of mathematical theorems.