论文部分内容阅读
初等数学中有许多方程在通常解法下会出现增根或失根.初等代数中解方程的主要手段是对原方程连续进行方程变形,最后得到一个较简单的方程,用来代替原方程.若每次变形时相关的两个方程都是同解方程,那么最后的方程与原方程同解;相反,若不能做到每次都是同解变形,就可产生增根或遗根.本文试对中学课本中几类方程增遗根的原因作以粗浅分析.
There are many equations in elementary mathematics which will appear root-mean-square or root-loss under the normal solution. The primary means of solving the equation in the elementary algebra is to continuously perform the equation transformation on the original equation and finally obtain a simpler equation to replace the original equation. Each time the deformation is related to the two equations are the same solution equation, then the final equation with the original solution of the same solution; the contrary, if you can not do with each deformation of the same solution, you can produce a root or root. On the middle school textbooks in several types of equations to add the roots of the reasons for a superficial analysis.