在求解分式方程时,通常的做法是通过去分母把分式方程转化为整式方程,进而通过求解整式方程以达到求解分式方程的目的.由于这样的转化未必都是同解变形,所以经常出现增根的情况.教科书对此作出了解释,认为产生增根的原因是“为了去分母,②(1/(x-5)=10/(x~2-25))两边同乘了一个等于0的式子,这时所得整式方程的解使②出现分母为0的现象,因此这样的解不是②的解”(见“郭文”).郭耀武老师在《中小 In the solution of fractional equation, it is common practice to convert the fractional equation to an integral equation by denominator, and then solve the integral equation to achieve the purpose of solving the fractional equation.Because such transformations are not necessarily the same deformation, so often The textbook explains this and thinks that the reason for the rooting is that “in order to go to the denominator, ② (1 / (x-5) = 10 / (x ~ 2-25) A formula equal to 0, then the solution of the resulting integral equation ② the phenomenon of denominator is 0, so this solution is not the solution of ② ”(see “ Guo Wen ”)