X2=x 1+n (or: x2-x 1=n, that is, the difference between two roots is equal to the serial number of the equation).
(n is the serial number of the equation)
Please write a similar equation: x? -36x+320=0
What is the relationship between the δ of each equation above and the serial number of this equation? If the sequence number of the equation is represented by n (n is a natural number), then △ = n 2 (represented by an algebraic expression of n).
Similarly, what is the relationship between the two x 1, x2 of each equation above and the serial number of this equation? If the sequence number of the equation is represented by n (n is a natural number), then x1= n 2, x2 = n (n+ 1) (represented by the algebraic expression of n).
Therefore, the general form of the above equation is: x? -(2n^2+n)x+N^2(n^2+n)=0
Jiangsu Wu Yunchao wishes you academic progress.