1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Other
Quantitative Aptitude
Quadratic Equations
If the roots ...
Question
If the roots of the equation
X
2
−
8
X
+
C
=
0
, are equal then
C
is equal to _______.
A
(
16
)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(
6
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(
4
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
(
16
)
If roots are equal then the discriminant is
⇒
b
2
−
4
a
c
=
0
b
2
4
a
=
c
for
e
q
n
n
2
−
8
x
+
c
=
0
a
=
1
,
b
=
−
8
c
=
8
2
4
=
16
So,
C
=
16
Suggest Corrections
0
Similar questions
Q.
Assertion :If the roots of the equations
x
2
−
b
x
+
c
=
0
and
x
2
−
c
x
+
b
=
0
differ by the same quantity, then
b
+
c
is equal to
−
4
Reason: If
α
,
β
are the roots of the equation
A
x
2
+
B
x
+
C
=
0
, then
α
−
β
=
√
B
2
−
4
A
C
A
Q.
If sum of the roots of the equation
5
x
4
−
k
x
3
+
8
x
+
1
=
0
is
6
, then
k
is equal to
Q.
If
α
,
β
∈
C
are the distinct roots, of the equation
x
2
−
x
+
1
=
0
, then
α
101
+
β
107
is equal to :
Q.
If the equation 9x
2
+ 6kx + 4 = 0 has equal roots, then the roots are both equal to
(a)
±
2
3
(b)
±
3
2
(c) 0
(d) ±3