摘要
本文指出了文献[1—8]给出的实系数一元四次方程根式解法存在的问题,给出了正确的判别式和补充方程,并作了证明。这对迅速、准确地求解四次方程有实用意义。
In present paper,the troubles, which may be occured in radical solution for real coefficient quartic equation with an unknown given in peper〔1-8〕,are pointed out.
Furthermore, the discriminant and supplementary equations are given and their correctness are shown by the examples.
Obviously,to solve a quartic equation fast and correctly is of practical importance.
关键词
四次方程
判别式
微分方程解法
discriminant
quartic equations
solution of differential eguations