2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Factorisation by Regrouping Terms
How many root...
Question
How many roots do. the following equations possess?
x
4
+
x
3
=
10.
Open in App
Solution
x
4
+
x
3
=
10
(given)
f
(
x
)
=
x
4
−
x
3
−
10
=
0
f
(
1
)
=
−
10
,
f
(
2
)
=
16
−
8
−
10
=
−
2
,
f
(
3
)
=
81
−
27
−
10
=
44
As
f
(
x
)
changes sign from
f
(
2
)
to
f
(
3
)
. So, Root lies b/w
(
2
,
3
)
. ONLY 1 ROOT
Suggest Corrections
0
Similar questions
Q.
How many roots do. the following equations possess?
For what values of a does the equation
x
2
+ ax + 2 = 0 possess three roots?
Q.
How many roots does the equation
x
3
+
a
x
+
2
=
0
possess depending on a?
Q.
How many roots does the following equation possess
3
|
x
|
{
|
2
−
|
x
|
|
}
=
1
?
Q.
How many roots do. the following equations possess?
3 |x| |2 - |x|| = 1.
Q.
How many real roots will be there for the equation
x
10
+
x
8
+
x
6
+
x
4
+
x
2
+
8
=
0
?
___
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
Method of Common Factors
MATHEMATICS
Watch in App
Explore more
Factorisation by Regrouping Terms
Standard VIII 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