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Byju's Answer
Standard XII
Mathematics
Factorization Method Form to Remove Indeterminate Form
x-22x-33x-2x-...
Question
(
x
−
2
)
2
(
x
−
3
)
3
(
x
−
2
)
(
x
−
4
)
2
x
+
1
≤
0
, then
x
may belong to
A
(
−
1
,
1
]
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B
[
3
,
∞
)
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C
2
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D
(
2
,
3
)
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Solution
The correct options are
C
(
2
,
3
)
D
2
(
x
−
2
)
2
(
x
−
3
)
3
(
x
−
2
)
(
x
−
4
)
2
x
+
1
≤
0
⇒
(
x
−
3
)
(
x
−
2
)
x
+
1
≤
0
,
x
=
2
,
4
⇒
x
∈
(
−
∞
,
−
1
)
∪
(
2
,
3
)
∪
{
2
,
4
}
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0
Similar questions
Q.
If
∣
∣ ∣
∣
x
+
2
2
x
+
3
3
x
+
4
2
x
+
3
3
x
+
4
4
x
+
5
3
x
+
5
5
x
+
8
10
x
+
17
∣
∣ ∣
∣
=
0
then
x
is equal to
Q.
Solve the following quadratic equation by factorization, the roots are
0
,
−
7
3
(
3
x
−
1
2
x
+
3
)
−
2
(
2
x
+
3
3
x
−
1
)
=
5
;
x
≠
1
3
,
−
3
2
Q.
If
|
x
−
1
|
+
|
x
+
1
|
=
2
, then
x
belongs to
Q.
If
∣
∣ ∣
∣
x
+
2
2
x
+
3
3
x
+
4
2
x
+
3
3
x
+
4
4
x
+
5
3
x
+
5
5
x
+
8
10
x
+
17
∣
∣ ∣
∣
=
0
then find value of
x
Q.
If
⎛
⎜
⎝
x
−
2
2
x
−
3
3
x
−
4
x
−
4
2
x
−
9
3
x
−
16
x
−
8
2
x
−
27
3
x
−
64
∣
∣ ∣
∣
=
0
,
then
x
=
.