1, direct Kaiping method: for the quadratic equation ax 2+bx+c = 0 (a \ neq 0) in unary form, if the discriminant b 2-4ac ≥ 0, the solution of the equation can be directly squared.
2. Matching method: Matching method is a general method, which can transform any quadratic equation into the form of (x+m) 2 = n, and then directly solve it with the square root.
3. Factorization: Factorization is a method to solve the equation by decomposing the factors on the left side of the equation and then making each factor equal to 0. This method can sometimes simplify the process of solving equations.
4. Complex number method: When judging B 2-4ac
5. Newton iteration method: Newton iteration method can be used to solve some equations that are difficult to solve directly. This method approximates the solution of the equation through continuous iteration.
6. Case discussion method: When a math problem seems insoluble, we can sometimes solve each kind of problem separately through classified discussion, and then combine the results to achieve the purpose of solving the problem.
The significance of mathematics:
1. Mathematics is a basic tool to understand and describe the real world. From microscopic atoms to macroscopic universe, from concrete matter to abstract concepts, mathematics provides us with the language to understand and describe them. For example, mathematics is widely used in physics, chemistry, economics and other scientific fields to help us understand and explain various phenomena.
2. Mathematics is the key force to promote scientific and technological progress. From Galileo to Newton, from Einstein to Hawking, mathematics plays a central role in scientific research. Many great scientific discoveries, such as quantum mechanics and relativity, are inseparable from the support of mathematics.
3. Mathematics is also widely used in computer science, engineering and other fields. Many basic concepts of modern computer science, such as algorithms, data structures and cryptography, all come from mathematics. In engineering, mathematics is the basis of designing and optimizing various facilities.
Mathematics is still a unique way of thinking. It teaches us how to ask questions, analyze and solve problems, and how to explore the unknown world with logic and reasoning. Mathematics can cultivate our abstract ability, logical thinking ability and ability to solve practical problems.