(1)解不等式lg(x-1)<1;(2)已知x+x-1=3,求x12?x?12的值

(1)解不等式lg(x-1)<1;(2)已知x+x-1=3,求x12?x?12的值.
2025-05-22 15:46:58
推荐回答(1个)
回答1:

(1)原不等式化为:lg(x-1)<lg10

x?1>0
x?1<10

∴1<x<11
∴原不等式的解集是:{x|1<x<11}
(2)∵(x
1
2
?x?
1
2
2=x+x-1-2=7.
x
1
2
?x?
1
2
=±
7