1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Factorization Method
Solve.If x ...
Question
Solve.If
x
=
4
is a root of
x
2
−
9
x
+
k
=
0
,
find the value of
k
and hence
find the other root.
Open in App
Solution
If
x
=
4
is a root, then it should satisy the equation,
x
2
−
9
x
+
k
=
0
4
2
−
9
(
4
)
+
k
=
0
∴
k
=
20
x
2
−
9
x
+
20
=
0
x
2
−
4
x
−
5
x
+
20
=
0
x
(
x
−
4
)
−
5
(
x
−
4
)
=
0
(
x
−
4
)
(
x
−
5
)
=
0
∴
x
=
4
,
5
Suggest Corrections
0
Similar questions
Q.
If
x
=
4
is a root of
x
2
−
9
x
+
k
=
0
, find the value of
k
and hence find the other root.
Q.
If one root of the quadratic equation ,
x
2
−
9
x
+
k
=
0
is
1
, then find the value of
k
.
Q.
If
−
4
is a root of the quadratic equation
x
2
+
p
x
−
4
=
0
and the quadratic equation
x
2
+
p
x
+
k
=
0
has equal roots, find the value of
k
.
Q.
Find that non-zero value of k, for which the quadratic equation
k
x
2
+
1
−
2
(
k
−
1
)
x
+
x
2
=
0
has equal roots. Hence find the roots of the equation.
Q.
Let one root of the quadratic equation
x
2
−
x
−
k
=
0
be square of the other. Then find the value of
k
.
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
Solving QE by Factorisation
MATHEMATICS
Watch in App
Explore more
Solving a Quadratic Equation by Factorization Method
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