已知|6―3m|+﹙n-5﹚²=3m-6-根号下﹙m-3﹚n²,则m-n=?
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/14 02:49:10
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已知|6―3m|+﹙n-5﹚²=3m-6-根号下﹙m-3﹚n²,则m-n=?
已知|6―3m|+﹙n-5﹚²=3m-6-根号下﹙m-3﹚n²,则m-n=?
已知|6―3m|+﹙n-5﹚²=3m-6-根号下﹙m-3﹚n²,则m-n=?
由﹙m-3﹚n²知 m>=3,
则原方程变为:
3m-6+﹙n-5﹚²=3m-6-根号下﹙m-3﹚n²
﹙n-5﹚²=-根号下﹙m-3﹚n²
﹙n-5﹚²+根号下﹙m-3﹚n²=0
所以n=5,m=3.
所以m-n= -2.