解分式方程的一般方法是 ,通过去分母化分式方程为整式方程 .若转化后的整式方程的根 ,使原分式方程分母的值为 0 ,则此根为原方程的增根 .因为增根满足去分母后的整式方程 ,所以相关待定系数可由增根代入整式方程求得 .以下举例说明 :例 1　若关于x的方程 1x2 -x+x-5x2 +x=k-1 The general method for solving the fractional equation is to use the dematrixed fractional equation as the integral equation. If the root of the transformed integral equation is such that the value of the denominator of the original fractional equation is 0, then this root is the root of the original equation. Since the root augmentation satisfies the integral equation after the denominator, the relevant undetermined coefficient can be obtained by adding the root to the integral equation. The following example illustrates: Example 1 If the equation 1x2 -x+x-5x2 +x=k-1 for x