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Byju's Answer
Standard X
Mathematics
Concept of Inequality
Solve [x]2x...
Question
Solve
[
x
]
2
x
−
[
x
]
=
0
then
x
ϵ
(
α
,
β
)
then
α
+
β
=
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Solution
f
(
x
)
=
[
x
]
2
x
−
[
x
]
=
0
[
x
]
=
0
By definition of Step function,
x
∈
(
0
,
1
)
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0
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Q.
solve :
x
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−
5
x
+
6
|
x
|
+
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then
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Q.
If
f
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=
n
∑
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a
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If
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ϵ
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α
,
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)
Then, if
(
α
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,
Q.
lf
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β
,
γ
are the roots of
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−
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=
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, then the transformed equation having the roots
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β
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α
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is obtained by taking
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Q.
Assertion :If
x
tan
(
θ
+
α
)
=
y
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θ
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=
z
tan
(
θ
+
γ
)
, then
∑
x
+
y
x
−
y
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(
α
−
β
)
=
0
Reason:
x
+
y
x
−
y
=
tan
(
θ
+
α
)
+
tan
(
θ
+
β
)
tan
(
θ
+
α
)
−
tan
(
θ
+
β
)
=
sin
(
2
θ
+
α
+
β
)
sin
(
α
+
β
)
Q.
If
α
,
β
are the roots of the equation
x
2
−
2
x
+
2
=
0
and if
c
o
t
θ
=
x
+
1
,
then
[
(
x
+
α
)
n
−
(
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+
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)
n
]
[
α
−
β
]
is equal to
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