Different from precise mathematics based on "set theory", fuzzy mathematics, the subject of mathematics, from precise mathematics to fuzzy mathematics, is another major change in mathematical thinking methods.
Natural science does provide rich materials for mathematics, which has penetrated into various disciplines. Most math classes still come from mathematics itself. More importantly, the concepts developed in mathematics are highly dependent on the existing concepts, which makes the progress of mathematics more and more abstract, and the requirements for human thinking will be higher and higher. For laymen, mathematics is not approachable, even popular science is difficult, and natural science will be much better in this respect.
Solving a quadratic equation with one variable is an important application. No matter how to solve the equation directly by square root, collocation method, formula method, factorization method, etc. The four solutions are different, the basis is different, and the scope of application is different. It is necessary to focus on it, and then choose the best solution according to the actual situation of the topic.
Formula method is a general method for solving quadratic equations with one variable, also known as universal method. Any univariate quadratic equation must be solved by the root formula as long as it has a solution. The root formula is the result of solving a quadratic equation with one variable by collocation method, which can be used to solve the equation directly and avoid the complicated formulation process. So there is no special requirement, and the equation is generally not solved by matching method.
The research on differential equations in the field of mathematics focuses on several different aspects, but most of them are related to the solutions of differential equations. Only a few simple differential equations can be solved analytically. However, even if the analytical solution is not found, some properties of the solution can still be confirmed. When the analytical solution cannot be obtained, the numerical solution can be found by means of numerical analysis and computer. Dynamic system theory emphasizes the quantitative analysis of differential equation system, and many numerical methods can calculate the numerical solution of differential equation with certain accuracy.