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增根与无解是分式方程中常见的两个概念,两者既有区别,又有密切的联系,不能等同.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为零的值.当把分式方程转化为整式方程后,这种限制被取消了,若转化后的整式方程的根不是原方程未知数的允许范围内的值,这个值就是分式方程的增根;分式方程无解有两种情况,一是变形后的
Rising roots and no solution are two common concepts in fractional equation, they are not only the same but also closely related, and they can not be equal. For the fractional equation, when the fractional denominator is zero, the fractional equation Therefore, the fractional equation does not allow unknowns to take those values that make the denominator zero.When a fractional equation is transformed into an integral equation, the restriction is removed and if the root of the transformed integral equation is not allowed by the unknown of the original equation The value of the range, this value is the root of the fractional equation; Fractional equation no solution There are two cases, one is deformed