关于解两个一元二次方程有公共根的问题,有些同学感到困难.下面提供一例题的几种解法,供同学们参考. 例:m为何值时,方程x2+mx-3=0与方程x2-4x-(m-1)=0有一个公共根?并求出这个公共根. 解法一:利用根与系数的关系设公共实根为a,则方程x2+mx-3=0的两根为a,-m-a. With regard to solving the problem of having a common root for the two unary quadratic equations, some students find it difficult. Here are a few examples of the solution to the problem for students to refer to. Example: When m is the value, the equation x2+mx-3=0 and the equation X2-4x-(m-1)=0 has a common root and finds this common root. Solution one: use the relationship between root and coefficient to set the common root to a, then the equation x2+mx-3=0 The root is a,-ma.