用配方法证明5X²-6x+11的值恒大于零!急!

分类: 作业答案 • 2021-12-28 19:05:02

问题描述：

用配方法证明5X²-6x+11的值恒大于零!急!
需要详细的过程,文字也行.

答

5X²-6x+11
=5（X²-6x/5）+11
=5[（X²-6x/5+9/25)-9/25]+11
=5(x-3/5)²-9/5+11
=5(x-3/5)²+46/5＞0