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一元高次方程作为方程的一部分,对我们后续的学习起着相当重要的作用。解一元高次方程的基本思路是降次,降次的基本方法是因式分解及换元法。例1解方程x~4-x~3-6x~2+6x=0。分析方程左边是个四次四项式,先提取公因式x,再合理地分组进行分解,从而起到将方程降次的目的。
The one-dimensional high-order equation is part of the equation and plays an important role in our subsequent learning. The basic idea of solving a high-order equation is to reduce the number of times, and the basic method of decreasing the number of times is the factorization and substitution method. Example 1 Solution The equation x~4-x~3-6x~2+6x=0. The left side of the analysis equation is a quartic quadruple formula. The common factor x is first extracted and then grouped into groups for decomposition. This reduces the number of equations.