>
数学
>
已知(x
2
+y
2
)(x
2
+y
2
-1)-6=0,则x
2
+y
2
的值是( )
A. 3或-2
B. -3或2
C. 3
D. -2
人气:193 ℃ 时间:2020-06-14 11:53:02
解答
设x
2
+y
2
=t(t≥0),则
t(t-1)-6=0,
整理得 (t-3)(t+2)=0,
解得 t
1
=3,t
2
=-2(不合题意,舍去),即x
2
+y
2
=3.
故选:C.
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