1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Discriminant
Find the valu...
Question
Find the values of p if the equation
x
2
−
x
+
p
=
0
does not possess real roots.
Open in App
Solution
On comparing the given equation
x
2
−
x
+
p
=
0
with standard form
a
x
2
+
b
x
+
c
=
0
, we get
a = 1, b = -1 and c = p
We know that when a quadratic equation has no real roots, discriminant, D < 0.
⇒
b
2
−
4
a
c
<
0
⇒
(
−
1
)
2
−
4
(
1
)
(
p
)
<
0
⇒
1
−
4
p
<
0
⇒
4
p
>
1
⇒
p
>
1
4
Suggest Corrections
1
Similar questions
Q.
For what values of
m
does the equation
x
2
−
x
+
m
=
0
possess no real roots?
Q.
If the equation x^2-bx+1=0 does not possess real roots. Then ______________
Q.
For what values of
a
does the equation
x
2
−
(
2
a
−
1
)
x
−
3
(
4
a
−
1
2
a
−
2
)
=
0
possess real roots?
Q.
For what values of m does not the equation
m
x
2
−
(
m
+
1
)
x
+
2
m
−
1
=
0
possess no real roots
Q.
If
x
2
−
2
x
+
log
1
2
p
=
0
does not have two distinct real roots, then the maximum value of
p
is
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Nature of Roots
MATHEMATICS
Watch in App
Explore more
Discriminant
Standard X Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app