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一、判别式的性质一元二次方程ax2＋bx＋c＝0（a≠0）根的判别式有如下性质：（1）方程有两个不相等的实数根；（2）方程有两个相等的实数根；（3）方程无实数根．二、判别式的功能由判别式的上述性质可知，判别式有下列两个基本功能：1．不解方程，判定一元二次方程根的情况．
First, the nature of the discriminant The discriminant of the quadratic equation ax2+bx+c=0 (a≠0) has the following properties: (1) the equation has two unequal real numbers; (2) the equation has two equal real roots. (3) The equation has no real number roots. Second, the function of discriminant by the discriminant of the above properties we can see, discriminant has the following two basic functions: 1. Do not solve the equation and determine the root of a quadratic equation.