已知x+1⼀x=6(0<x<1),则根号x-1⼀根号x的值是

2025-03-24 08:03:31
推荐回答(1个)
回答1:

x+(1/x)=6
[x+(1/x)]²=36
x²+2+(1/x²)=36
x²-2+(1/x²)=32
[x-(1/x)]²=32
因为:0得:x-(1/x)=-√32
即:x-(1/x)=-4√2