已知实数x满足x2+1x2+x+1x=0,那么x+1x的值是( ) A.1或-2 B.-1或2 C.1 D.-2
已知实数x满足x
2+
+x+=0,那么x+
的值是( )
A. 1或-2
B. -1或2
C. 1
D. -2
数学人气:839 ℃时间:2020-04-11 01:34:00
优质解答
∵x
2+
+x+=0
∴
(x+)2−2+x+=0∴[(x+
)+2][(x+
)-1]=0
∴x+
=1或-2.
∵x+
=1无解,
∴x+
=-2.
故选D.
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