论文部分内容阅读
代数方程可分为整式方程、分式方程和根式方程。为了求出方程的解,必须对方程进行恒等变形,使之变换成一个易于求解的简单方程。由于在变换过程中,来知数允许值的集合也可能发生变化,这样,在解方程时就可能产生增根、失根现象。对于增根,通过验算不难将它去掉;但对于失根,往往不易发现,失去了根要找回也比较困难。因此,解方程时一定要注意失根问题。
Algebraic equations can be divided into integral equations, fractional equations, and root equations. In order to solve the solution of the equation, the equation must be subjected to constant deformation to transform it into a simple equation that is easy to solve. Since the set of allowed values of the incoming knowledge may also change during the transformation process, rooting and root loss may occur during the solution of the equation. For increasing roots, it is not difficult to remove it by checking; but for rootlessness, it is often difficult to find, and it is more difficult to lose roots and recover them. Therefore, we must pay attention to the root loss problem when solving equations.