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Question
Mathematics
x ∈ R: (2x -1/x3 + 4x2 + 3x) ∈ R Equals
Q.
x
∈
R
:
x
3
+
4
x
2
+
3
x
2
x
−
1
∈
R
Equals
2448
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BITSAT
BITSAT 2009
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A
R - {0}
0%
B
R- {0,1,3}
100%
C
R-{0, -1,-3}
0%
D
R- 0,-1,-3,+
2
1
0%
Solution:
Let
A
=
x
∈
R
:
x
3
+
4
x
2
+
3
x
2
x
−
1
Now ,
x
3
+
4
x
2
+
3
x
=
x
(
x
2
+
4
x
+
3
)
=
x
(
x
+
3
)
(
x
+
1
)
A
=
R
−
{
0
,
−
1
,
−
3
}