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初中数学中一元二次方程根的判别式的应用相当广泛 ,为使同学们在复习中系统地掌握其应用 ,现将它们归纳如下 ,供同学们参考 .应用一 :不解方程 ,判断方程的根的情况例 1 不解方程 ,判定方程 ( 3ｘ - 5) (ｘ - 3 ) =1 0的根的情况 .解 :整理原方程 ,得 3ｘ2 - 1 4ｘ + 5
The discriminant of the root of the quadratic equation in junior middle school mathematics is widely used. In order to make the students systematically grasp their application during the review, they are summarized as follows for students’ reference. Application 1: Unsolve the equation, determine the equation Root Case Example 1 Do not solve the equation and determine the case of the root of the equation (3x - 5) (x - 3) = 10. Solution: Sort the original equation to get 3x2 - 1 4x + 5