Convert the quadratic equation of one variable into a general form, and then calculate the value of the discriminant △=b2-4ac. When B2-4ac is greater than or equal to 0, substitute the values of the coefficients a, b and c into the root formula X = [-B (B 2-4ac) (1/2)]/(2a).

There is only one unknown, and the general formula of the "integral equation" of the highest power of 2 is ax2+bx+c=0(a≠0). For some equations with zero coefficients in the general formula of quadratic equation of one variable, they can generally be solved by simple operation, and some of them do not belong to the category of quadratic equation of one variable, so they are all omitted.

The equation with the shape of (x-m)2=n(n≥0) is solved by direct Kaiping method, and its solution is n+m under the radical sign of x =+-0. First, use the factorization method to see if it can be decomposed into (x-a)(x-b)=0, that is, A and B. Secondly, if it cannot be factorized, use the formula.

In the unary quadratic equation y=ax+bx+c(a, b and c are constants), when △ = b-4ac > 0, the equation has two solutions, and then these two factors are equal to 0 respectively, and their solutions are the solutions of the original equation.

There are only four solutions to the unary quadratic equation:

One is direct leveling method, the other is collocation method, the third is formula method and the fourth is factorization method. One-dimensional quadratic equation and one-dimensional linear equation are both integral equations, which are a key content of junior high school mathematics and the basis of studying mathematics in the future. The direct Kaiping method is a method to solve a quadratic equation with a direct square root.

In addition, due to the consideration of high school mathematics, the virtual root is added and some extensions are made. At the end of this paper, the derivation process of this method is attached. According to the relationship between factorization and algebraic expression multiplication, all the coefficients can be directly brought into the formula to find the root, thus avoiding the formula process and finding the root directly. This method of solving a quadratic equation with one variable is called formula method.

According to the relationship between roots, find one root by various simple methods, and then calculate another root. Directly use the formula derived by predecessors to generate roots. The purpose of these methods is to obtain accurate results by reducing the amount of calculation, and they can be used as long as they are convenient for practical application.