EduSahara™ Assignment
Name : Quadratic Equations Miscellaneous
Chapter : Quadratic Equations
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Solve :
(
38
x
+
1
)
(
17
x
+
1
)
=
(
16
x
+
1
)
(
7
x
+
1
)
(i)
(
0
,
-2
)
(ii)
(
-3
,
-1
)
(iii)
(
-1
,
1
)
(iv)
(
0
,
2
)
(v)
(
3
,
5
)
Question
2
2.
Solve :
(
2
x
+
3
)
(
2
x
+
1
)
+
(
x
−
2
)
(
x
+
2
)
=
124
77
(i)
(
4
,
1
3
)
(ii)
(
7
,
3
5
)
(iii)
(
6
,
1
7
)
(iv)
(
3
,
(
-1
5
)
)
(v)
(
5
,
1
5
)
Question
3
3.
Solve :
(
x
2
−
8
x
)
2
−
6
(
x
2
−
8
x
)
+
8
=
0
(i)
(
7
+
2
√
5
)
,
(
6
−
2
√
5
)
,
(
6
+
3
√
2
)
,
(
6
−
3
√
2
)
(ii)
(
4
+
10
)
,
(
4
−
10
)
,
(
4
+
6
)
,
(
4
−
6
)
(iii)
(
4
+
2
4
√
5
)
,
(
4
−
2
4
√
5
)
,
(
4
+
3
4
√
2
)
,
(
4
−
3
4
√
2
)
(iv)
(
2
+
2
√
5
)
,
(
2
−
2
√
5
)
,
(
1
+
3
√
2
)
,
(
1
−
3
√
2
)
(v)
(
4
+
2
√
5
)
,
(
4
−
2
√
5
)
,
(
4
+
3
√
2
)
,
(
4
−
3
√
2
)
Question
4
4.
Solve :
(
x
4
−
10
x
2
+
9
)
=
0
(i)
3
,
(
−
3
)
,
1
,
(
−
1
)
(ii)
1
,
(
−
6
)
,
(
−
1
)
,
(
−
4
)
(iii)
2
,
(
−
4
)
,
0
,
(
−
2
)
(iv)
4
,
(
−
2
)
,
2
,
0
(v)
5
,
(
−
1
)
,
3
,
2
Question
5
5.
Solve :
(
x
+
6
)
(
x
+
7
)
(
x
+
8
)
(
x
+
9
)
=
3024
(i)
(
−
1
)
,
(
−
16
)
(ii)
(
−
2
)
,
(
−
18
)
(iii)
3
,
(
−
13
)
(iv)
0
,
(
−
15
)
(v)
1
,
(
−
14
)
Question
6
6.
For what values of
k
are the roots of
(
k
−
5
)
x
2
+
(
k
+
7
)
x
+
(
k
+
7
)
=
0
equal
(i)
(
(
−
6
)
,
8
)
(ii)
(
(
−
5
)
,
7
)
(iii)
(
(
−
7
)
,
9
)
(iv)
(
(
−
5
)
,
8
)
(v)
(
(
−
6
)
,
9
)
Question
7
7.
If
p
and
q
are the roots of
(
x
2
−
16
x
+
64
)
=
0
,
find the equation whose roots are
p
+
1
q
and
q
+
1
p
(i)
(
64
x
2
−
1056
x
+
4355
)
=
0
(ii)
(
80
x
2
−
1298
x
+
5265
)
=
0
(iii)
(
48
x
2
−
782
x
+
3185
)
=
0
(iv)
(
64
x
2
−
1024
x
+
4095
)
=
0
(v)
(
64
x
2
−
1040
x
+
4225
)
=
0
Question
8
8.
If
5
is the root of
(
x
2
+
k
x
+
5
)
=
0
, find
k
and the other root
(i)
k
=
-9
, and the other root =
-2
(ii)
k
=
-5
, and the other root =
2
(iii)
k
=
-6
, and the other root =
1
(iv)
k
=
-7
, and the other root =
0
(v)
k
=
-3
, and the other root =
4
Question
9
9.
If
a
x
2
+
b
x
+
c
is exactly divisible by
(
x
+
3
)
,
(
x
−
5
)
and leaves a remainder of
-16
when divided by
(
x
−
1
)
, find
a
,
b
and
c
(i)
a
=
1
,
b
=
-5
,
c
=
-17
(ii)
a
=
1
,
b
=
-2
,
c
=
-15
(iii)
a
=
1
,
b
=
-1
,
c
=
-14
(iv)
a
=
1
,
b
=
-3
,
c
=
-16
(v)
a
=
1
,
b
=
0
,
c
=
-12
Question
10
10.
Find
a
and
b
in order that
(
x
3
+
12
x
2
)
+
(
a
x
+
b
)
may be exactly divisible by
(
x
2
+
15
x
+
56
)
(i)
a
=
9
,
b
=
-171
(ii)
a
=
12
,
b
=
-167
(iii)
a
=
10
,
b
=
-169
(iv)
a
=
11
,
b
=
-168
(v)
a
=
13
,
b
=
-165
Question
11
11.
Find the quadratic equation with roots
(
(
-2
9
)
,
(
-2
9
)
)
(i)
(
9
x
2
+
2
x
)
=
0
(ii)
(
99
x
2
+
40
x
+
4
)
=
0
(iii)
(
63
x
2
+
32
x
+
4
)
=
0
(iv)
(
81
x
2
+
54
x
+
8
)
=
0
(v)
(
81
x
2
+
36
x
+
4
)
=
0
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (i)
5) (iv)
6) (iii)
7) (v)
8) (iii)
9) (ii)
10) (iv)
11) (v)
