4
You visited us
4
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Inequalities Involving Modulus Function
If αand β ...
Question
If
α
and
β
are the roots of the equation
a
x
2
−
b
x
+
c
=
0
, then evaluate
(
α
+
1
)
(
β
+
1
)
.
Open in App
Solution
Consider the given equation.
a
x
2
−
b
x
+
c
=
0
α
+
β
=
b
a
α
β
=
c
a
(
α
+
1
)
(
β
+
1
)
=
α
β
+
β
+
α
+
1
=
c
a
+
b
a
+
1
=
a
+
b
+
c
a
Hence, this is the answer.
Suggest Corrections
0
Similar questions
Q.
If
α
,
β
are roots of the equation
a
x
2
+
b
x
+
c
=
0
then evaluate
1
(
a
α
)
2
+
1
(
a
β
)
2
Q.
If
α
,
β
are the roots of the equation
a
x
2
+
b
x
+
c
=
0
then the equation whose roots are
α
+
1
β
and
β
+
1
α
is
Q.
I
f
α
,
β
,
γ
a
r
e
r
o
o
t
s
e
q
u
a
t
i
o
n
x
3
+
a
x
2
+
b
x
+
c
=
0
,
t
h
e
n
α
−
1
+
β
−
1
+
γ
−
1
=
Q.
If
α
and
β
are roots of
a
x
2
+
b
x
+
c
=
0
, then equation whose roots are
α
+
1
β
,
β
+
1
α
, is
Q.
If roots of the equation
f
(
x
+
2
)
=
a
x
2
+
b
x
+
c
=
0
and
α
,
β
are such that
α
<
−
2
<
β
, then for the equation
f
(
x
)
=
A
x
2
+
B
x
+
C
.
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
Modulus
MATHEMATICS
Watch in App
Explore more
Inequalities Involving Modulus Function
Standard XI 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
AI Tutor
Textbooks
Question Papers
Install app