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我们知道:△=b2-4ac是方程ax2+bx+c=0(a≠0)的根的判别式,可简单明了地判断方程根的情况,在这方面,书本上已经介绍了它的一些常规应用,而其他方面的应用,书本上没有作明确说明,在这里,简单地介绍如下:1 在代数式中的应用 例1 若代数式(2m-1)x2+2(m+1)x+4是一完全平方式,求m的值。 分析由代数式为一完全平方式,若令此代数式等于零,则此方程必有两个相等的实数根,故而△=0。
We know that △=b2-4ac is the discriminant of the root of the equation ax2+bx+c=0(a≠0). It can be used to determine the root of the equation in a straightforward manner. In this respect, some of the books have been introduced in the book. The general application, but other aspects of the application, the book does not explicitly explain, here, briefly described as follows: 1 in algebraic equations of application 1 if the algebraic formula (2m-1)x2+2(m+1)x+4 Is a completely flat way, find the value of m. The algebraic equation is a completely flat way. If this algebraic equation is equal to zero, then this equation must have two equal real number roots, so Δ=0.