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Byju's Answer
Standard XII
Mathematics
Strictly Increasing Functions
The real numb...
Question
The real number k for which the equation
2
x
3
+
3
x
+
k
=
0
has two distinct real roots in
[
0
,
1
]
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Solution
Let
f
(
x
)
=
2
x
3
+
3
x
+
k
f
′
(
x
)
=
6
x
2
+
3
>
0
,
f
o
r
a
l
l
x
∈
R
So f'(x) is strictly increasing function and hence f(x)=0, has only one real root, so two roots are not possible.
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