方程x2-2x-2=0的一较小根为x1,下面对x1的估计正确的是( )
A. -2<x1<-1
B. -1<x1<0
C. 0<x1<1
D. 1<x1<2
人气:262 ℃ 时间:2020-03-22 22:07:27
解答
x
2-2x-2=0,
x
2-2x=2
x
2-2x+1=3
(x-1)
2=3,
解得x
1=1-
,x
2=1+
;
∵1<
<2,即-2<-
<-1,
∴-1<1-
<0,即-1<x
1<0;
故选B.
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