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Byju's Answer
Standard XIII
Mathematics
Nature of Roots of a Cubic Polynomial Using Derivatives
The roots of ...
Question
The roots of the equation
x
3
+ 2
x
2
+ 5x + 2cos x = 0 in [0, 2
π
] is
A
only one root
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B
only two roots
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C
only three roots
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D
NO ROOTS EXIST
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Solution
The correct option is
D
NO ROOTS EXIST
f
(
x
)
=
x
3
+
2
x
2
+
5
x
+
2
c
o
s
x
=
0
i
n
[
0
,
2
π
]
x
(
x
2
+
2
x
+
5
)
=
−
2
c
o
s
x
No.solution
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