论文部分内容阅读
在一元二次方程的学习中,我们知道,b~2-4ac称为一元二次方程ax~2+bx+c=0(a≠0)的根的判别式,通常用字母“Δ”表示,即Δ=b~2-4ac.它的取值大小,决定着一元二次方程实数根的有无及多少.具体而言,有如下三种情况:1.当Δ>0时,方程有两个不相等的实数根;2.当Δ=0时,方程有两个相等的实数根;3.当Δ<0时,方程没有实数根.灵活利用根的判别式,可帮我们巧妙地解题.
In the study of the quadratic equation, we know that b ~ 2-4ac is called the discriminant of the root of a radical quadratic equation ax ~ 2 + bx + c = 0 (a ≠ 0), usually using the letter “Δ ”, That is, Δ = b ~ 2-4ac. The size of the value determines the real root and the number of quadratic equations. Specifically, there are three cases: 1. When Δ> 0, The equation has two non-equal real roots; 2. When Δ = 0, the equation has two equal real roots; 3. When Δ <0, the equation has no real roots. Flexible use of the root discriminant can help us Cleverly solve the problem.