Given m is a real number,and|1-m|=|m|+1,simplify an algebraic expression,then√m^2-2m+1=

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 12:27:20
Given m is a real number,and|1-m|=|m|+1,simplify an algebraic expression,then√m^2-2m+1=

Given m is a real number,and|1-m|=|m|+1,simplify an algebraic expression,then√m^2-2m+1=
Given m is a real number,and|1-m|=|m|+1,simplify an algebraic expression,then√m^2-2m+1=

Given m is a real number,and|1-m|=|m|+1,simplify an algebraic expression,then√m^2-2m+1=
D
|1-m|=|m|+1得m=<0

题目的中文意思是:已知m是实数,且|1-m|=|m|+1,化简代数式√m^2-2m+1=
根据已知条件,两边平方,得到
1+m^2-2m=|m|^2+1+2|m|
所以-2m=|m|
因此m<=0
所以√m^2-2m+1=-m-2m+1=-3m+1