用配方法证明进一步推广的二次不等式

Proof of the Further Generalized Quardratic Inequality with the Method of Completing the Square

考虑进一步推广的二次代数不等式.利用配方法、三次代数方程和四次代数方程的解法,得到一个进一步推广的二次代数不等式.很多二次代数不等式都是其特例.

The further generalized quardratic algebraic inequality is considered and obtained by using the method of completing the square and solution of the cubic and biqudratic algebraic equation. Many results of this kind of inequalities can be deduced as special cases from our results in this paper.