1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Chemistry
Liquids in Liquids
Find the numb...
Question
Find the number of integers that lie between the roots of the equation
x
2
+
7
x
+
12
=
0
.
A
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
7
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
0
Comparing
x
2
+
7
x
+
12
=
0
t
o
a
x
2
+
b
x
+
c
=
0
, we get a = 1, b = 7 and c = 12.
Applying factorization method to find the roots,
We need to find two numbers whose product is 12 i.e., (
a
×
c
) and whose sum is 7 i.e., (
b
)
Pairs of numbers whose product is 12 are
(
2
,
6
)
,
(
−
2
,
−
6
)
,
(
4
,
3
)
,
(
−
4
,
−
3
)
,
(
1
,
12
)
and
(
−
1
,
−
12
)
.
Identifying the pair, we rewrite the given quadratic equation
x
2
+
7
x
+
12
as
⇒
x
2
+
4
x
+
3
x
+
12
=
x
(
x
+
4
)
+
3
(
x
+
4
)
⇒
(
x
+
4
)
(
x
+
3
)
=
0
⇒
(
x
+
4
)
=
0
o
r
(
x
+
3
)
=
0
⇒
x
=
−
4
,
−
3
∴
Roots of
x
2
+
7
x
+
12
are
−
4
and
−
3
.
No. of integers between -4 and -3 is 0.
Suggest Corrections
0
Similar questions
Q.
Find the number of integers that lie between the roots of the equation
x
2
+
7
x
+
12
=
0
.
Q.
Find the sum of the roots of the quadratic equation
x
2
−
7
x
+
12
=
0.
Q.
The equation
x
2
−
7
x
+
12
=
0
has distinct roots find them.
Q.
Find the roots of the equation
x
2
+
7
x
+
12
=
0
by using the formula
Q.
If exactly two integers lie between the roots of the equation
x
2
+
a
x
−
1
=
0
, then possible integral value(s) of
a
is (are)
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
Liquids in Liquids and Raoult's Law
CHEMISTRY
Watch in App
Explore more
Liquids in Liquids
Standard XII Chemistry
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