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Question
Mathematics
The number of real roots of (x - 1) (x - 2) (x - 3) (x - 4) = 3 is
Q. The number of real roots of
(
x
−
1
)
(
x
−
2
)
(
x
−
3
)
(
x
−
4
)
=
3
is
2304
212
Complex Numbers and Quadratic Equations
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A
2
15%
B
0
30%
C
4
32%
D
none of these
23%
Solution:
(
x
+
x
1
)
3
+
(
x
+
x
1
)
=
0
⇒
(
x
+
x
1
)
[
(
x
+
x
1
)
2
+
1
]
Since,
(
x
+
x
1
)
2
+
1
>
0
Therefore,
(
x
+
x
1
)
=
0
⇒
x
2
+
1
=
0
Therefore, number of real roots are zero.