x^2-2x+1-m^2小于等于0(m大于0)怎么解?

2025-01-03 06:21:13
推荐回答(4个)
回答1:

(x-1)²-m²<=0
(x+m-1)(x-m-1)<=0
零点是1-m和1+m
m>0
所以1-m<1+m
所以1-m≤x≤1+m

回答2:

移项
x^2-2x+1<=m^2
(x-1)^2<=m^2
m>0
所以 -m ≤ x-1≤m
所以 1-m≤x≤1+m

回答3:

x^2-2x+1≤m^2
(x-1)^2≤m^2
∵m>0
∴-m ≤x-1≤m
∴1-m≤x≤1+m

回答4:

x^2-2x+1-m^2≤0
(x-1)^2≤m^2
-m≤x-1≤m
1-m≤x≤1+m