当x=根号3时,代数式(x-1分之x-x+1分之x)除与1-x分之2x

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 03:39:50
当x=根号3时,代数式(x-1分之x-x+1分之x)除与1-x分之2x

当x=根号3时,代数式(x-1分之x-x+1分之x)除与1-x分之2x
当x=根号3时,代数式(x-1分之x-x+1分之x)除与1-x分之2x

当x=根号3时,代数式(x-1分之x-x+1分之x)除与1-x分之2x
(x-1分之x-x+1分之x)除与1-x分之2x
=[x/(x-1)-x/(x+1)]÷2x/(1-x)
={[x(x+1)-x(x-1)]/(x+1)(x-1)}÷2x/(1-x)
=2x/(x+1)(x-1)*(1-x)/2x
=-1/(x+1)
=-1/(√3+1)
=(1-√3)/(3-1)
=(1-√3)/2

括号里面 通分以后约掉x平方 简化为2x/(x平方-1) 和外面的约分得(1-根号3)/2

(x-1分之x-x+1分之x)除与1-x分之2x
=[x/(x-1)-x/(x+1)]÷2x/(1-x)
={[x(x+1)-x(x-1)]/(x+1)(x-1)}÷2x/(1-x)
=2x/(x+1)(x-1)*(1-x)/2x
=-1/(x+1)
=-1/(√3+1)
=(1-√3)/(3-1)
=(1-√3)/2