1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Formation of a Quadratic Equation From It's Roots
Form the quad...
Question
Form the quadratic equation whose roots are:
0
and
−
6
A
x
2
+
6
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x
2
−
6
x
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x
2
+
6
x
=
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
x
2
−
6
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
x
2
+
6
x
=
0
The roots of the equation are
0
and
−
6
∴
(
x
+
0
)
(
x
+
6
)
=
0
∴
x
(
x
+
6
)
=
0
∴
x
2
+
6
x
=
0
This is the required quadratic equation.
Suggest Corrections
0
Similar questions
Q.
Find the quadratic equation whose roots are the additive inverses of the roots of the equation
x
2
−
5
x
+
6
=
0
Q.
If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is
(a)
x
2
-
6
x
+
6
=
0
(b)
x
2
+
6
x
-
6
=
0
(c)
x
2
-
6
x
-
6
=
0
(d)
x
2
+
6
x
+
6
=
0
Q.
The quadratic equation whose one root is
(
3
+
2
3
)
is
(a)
x
2
+
6
x
-
3
=
0
(b)
x
2
-
6
x
-
3
=
0
(c)
x
2
+
6
x
+
3
=
0
(d)
x
2
-
6
x
+
3
=
0
Q.
Let p, q be the roots of the equation
x
2
−
3
x
+
2
=
0.
The quadratic equation having roots 2p and 2q is:
Q.
The quadratic equation x
2
-6x+a=0 and x
2
-cx+6=0 have one root in common. The other roots of the first and second equations are integers in 4:3, then find the common root.
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
MATHEMATICS
Watch in App
Explore more
Formation of a Quadratic Equation From It's Roots
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
AI Tutor
Textbooks
Question Papers
Install app