要使分式x²-1/x²-x的值为0,x应取何值
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 18:26:27
![要使分式x²-1/x²-x的值为0,x应取何值](/uploads/image/z/1629467-35-7.jpg?t=%E8%A6%81%E4%BD%BF%E5%88%86%E5%BC%8Fx%26%23178%3B-1%2Fx%26%23178%3B-x%E7%9A%84%E5%80%BC%E4%B8%BA0%2Cx%E5%BA%94%E5%8F%96%E4%BD%95%E5%80%BC)
要使分式x²-1/x²-x的值为0,x应取何值
要使分式x²-1/x²-x的值为0,x应取何值
要使分式x²-1/x²-x的值为0,x应取何值
分式值为0,分子=0,分母≠0
(x²-1)/(x²-x)=(x+1)(x-1)/[x(x-1)]
分式有意义,分母≠0,x≠0且x≠1
分子=0
(x+1)(x-1)=0
x=-1或x=1(舍去)
x=-1
-1呗
只能x^2-1=0,且x^2-x≠0
所以x=-1,x=1(舍去)