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分式方程的增根与无解是分式方程中的两个重要概念,两者既有区别,又有密切的联系.对于分式方程,当分式中分母的值为零时,分式方程无意义,所以分式方程不允许未知数取那些使分母的值为零的值.在分式方程转化为整式方程的变形中,这种限制被取消了,使原方程中未知数的取值范围扩大了,导致转化后的整式方程的根可能是原方程未
The root and non-solution of fractional equation are two important concepts in the fractional equation, which have both the difference and the close relation.For the fractional equation, when the fractional denominator is zero, the fractional equation So the fractional equation does not allow unknowns to take those values that make the denominator zero. In the transformation of a fractional equation to an integral equation, this restriction is eliminated and the range of unknowns in the original equation is expanded The root of the transformed integral equation may be the original equation