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Byju's Answer
Standard XII
Mathematics
Common Roots
If the equati...
Question
If the equation 2x
2
– kx + x + 8 = 0 has real and equal roots, then k = __________.
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Solution
for
2
x
2
-
k
x
+
x
+
8
=
0
given
;
roots
one
real
and
equal
i
.
e
.
D
=
0
Discriminat
i
.
e
.
b
2
-
4
a
c
=
0
Here
b
=
-
k
+
1
a
=
2
c
=
8
with
reference
to
standard
equations
a
x
2
+
b
x
+
c
=
0
⇒
1
-
K
2
-
4
2
8
=
0
i
.
e
.
K
2
+
1
-
2
K
-
64
=
0
i
.
e
.
K
2
-
2
K
-
63
=
0
i
.
e
.
K
2
-
9
K
+
7
K
-
63
=
0
i
.
e
.
K
-
9
k
+
7
=
0
i
.
e
.
K
=
9
or
-
7
Suggest Corrections
0
Similar questions
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 value of k, for which the quadratic equation
2
x
2
+
k
x
+
3
=
0
has two real equal roots.
Q.
Write the set of value of k for which the quadratic equations has 2x
2
+ kx − 8 = 0 has real roots.
