1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Common Roots
Find the valu...
Question
Find the value of k, which equation real and equal root : kx2 + kx +1 = 4x2 - x
Open in App
Solution
Suggest Corrections
7
Similar questions
Q.
The value (s) of
k
for which the quadratic equation
k
x
2
−
k
x
+
1
=
0
has equal roots
Q.
The values of k for which the quadratic equation
k
x
2
+
1
=
k
x
+
3
x
-
11
x
2
has real and equal roots are
(a) −11, −3
(b) 5, 7
(c) 5, −7
(d) none of these
Q.
Find the values of
k
for which the following equations have real roots.
4
x
2
+
k
x
+
3
=
0
Q.
Find the values of
k
for which the given equation has real and equal roots
2
x
2
−
k
x
+
1
=
0
Q.
Find the values of k for which the roots are real and equal in each of the following equations:
(i)
k
x
2
+
4
x
+
1
=
0
(ii)
k
x
2
-
2
5
x
+
4
=
0
(iii)
3
x
2
-
5
x
+
2
k
=
0
(iv)
4
x
2
+
k
x
+
9
=
0
(v)
2
k
x
2
-
40
x
+
25
=
0
(vi)
9
x
2
-
24
x
+
k
=
0
(vii)
4
x
2
-
3
k
x
+
1
=
0
(viii)
x
2
-
2
5
+
2
k
x
+
3
7
+
10
k
=
0
(ix)
3
k
+
1
x
2
+
2
k
+
1
x
+
k
=
0
(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
(xviii)
4
x
2
-
2
k
+
1
x
+
k
+
1
=
0