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Byju's Answer
Standard XII
Mathematics
Exponential Function (a^x)
The number of...
Question
The number of solutions for the equation
x
2
−
5
|
x
|
+
6
=
0
is:
A
4
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B
3
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C
2
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D
1
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Solution
The correct option is
A
4
x
2
−
5
|
x
|
+
6
=
0
⇒
|
x
|
2
−
5
|
x
|
+
6
=
0
⇒
(
|
x
|
−
3
)
(
|
x
|
−
2
)
=
0
⇒
|
x
|
=
2
,
3
⇒
x
=
±
2
,
±
3
Suggest Corrections
1
Similar questions
Q.
Number of solutions of the equation
(
x
2
+
x
+
1
)
2
−
4
=
(
x
2
+
x
+
1
)
(
x
2
−
x
−
5
)
for
x
∈
(
−
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,
3
)
, are:
Q.
The number of real solutions of the equation (5 + 2
√
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)
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−
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+ (5 - 2
√
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)
x
2
−
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= 10 is
Q.
The number of solutions for the equation
x
2
−
5
|
x
|
+
6
=
0
is
समीकरण
x
2
−
5
|
x
|
+
6
=
0
के हलों की संख्या है
Q.
The number of real solutions of the equation
6
−
x
x
2
−
4
=
2
+
x
x
+
2
is
Q.
The value of k for which the system, of equations has infinite number of solutions, is
2x + 3y = 5
4x + ky = 10
(a) 1
(b) 3
(c) 6
(d) 0