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解分式方程去分母时,方程两边同乘最简公分母,得到整式方程.如果所乘的最简公分母不为0,所得到的整式方程与分式方程同解;如果所乘的最简公分母为0,所得到的整式方程的解就不一定是原来分式方程的解,其中使最简公分母为0的解,就不是原方程的解,称为原方程的“增根”.分式方程的“增根”有两个特征:一是原分式方程去分母后所得到的整式方程的根,因此在解决分式方程有关问题时千万别把“增根”不当根;二是“增根”必使原方程中的最简公分
To solve a fractional equation, when the denominator is the denominator, both sides of the equation are multiplied by the simplest common denominator to obtain the integral equation. If the least common denominator is multiplied by 0, the resulting integral equation is the same as the fractional equation; Since the common denominator is 0, the solution obtained for the integral equation is not necessarily the solution to the original fractional equation. The solution that makes the simplest denominator zero is not the solution to the original equation, Root “.Fractional equation ” root “has two characteristics: First, the original fractional equation to the denominator obtained after the root of the integral equation, so to solve the problem of fractional equation Do not ”Increase root “ improper root; second is ”increase root " will make the original equation of the most simple centimeters