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Byju's Answer
Standard X
Mathematics
Roots of a Quadratic Equation
The factors o...
Question
The factors of the equation,
k
(
x
+
1
)
(
2
x
+
1
)
=
0
, find the value of
k
.
A
k
=
1
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B
k
=
2
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C
k
=
3
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D
k
=
0
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Solution
The correct option is
D
k
=
0
Given,
k
(
x
+
1
)
(
2
x
+
1
)
=
0
Applying zero property rule:
∴
the value of
k
=
0
Suggest Corrections
0
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Q.
Find the values of k for which the roots are real and equal in each of the following equations:
(i)
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(ix)
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k
+
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x
2
+
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k
+
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x
+
k
=
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(x)
k
x
2
+
k
x
+
1
=
-
4
x
2
-
x
(xi)
k
+
1
x
2
+
2
k
+
3
x
+
k
+
8
=
0
(xii)
x
2
-
2
k
x
+
7
k
-
12
=
0
(xiii)
k
+
1
x
2
-
2
3
k
+
1
x
+
8
k
+
1
=
0
(xiv)
2
k
+
1
x
2
+
2
k
+
3
x
+
k
+
5
=
0
(xvii)
4
x
2
-
2
k
+
1
x
+
k
+
4
=
0