EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadratic Equations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The sum of the roots of the quadratic equation
(
−
48
x
2
−
2
x
+
6
)
=
0
is
(i)
(
-1
26
)
(ii)
(
-1
24
)
(iii)
(
-1
22
)
(iv)
1
24
(v)
(
-1
8
)
Question
2
2.
Find the quadratic equation with roots
(
(
-9
2
)
,
(
-9
2
)
)
(i)
(
4
x
2
+
36
x
+
81
)
=
0
(ii)
(
2
x
2
+
27
x
+
81
)
=
0
(iii)
(
4
x
2
+
40
x
+
99
)
=
0
(iv)
(
4
x
2
+
32
x
+
63
)
=
0
(v)
(
8
x
2
+
54
x
+
81
)
=
0
Question
3
3.
Solve :
21
x
2
+
8
a
b
2
x
−
4
a
2
b
4
= 0
(i)
−
4
a
b
2
3
,
0
(ii)
−
2
a
b
2
5
,
2
a
b
2
9
(iii)
−
2
a
b
2
,
2
a
b
2
5
(iv)
0
,
4
a
b
2
7
(v)
−
2
a
b
2
3
,
2
a
b
2
7
Question
4
4.
Find the quadratic equation whose roots are
(
1
−
6
√
2
)
and
(
1
+
6
√
2
)
(i)
(
x
2
+
x
−
71
)
=
0
(ii)
(
−
2
x
−
71
)
=
0
(iii)
(
2
x
2
−
2
x
−
71
)
=
0
(iv)
(
x
2
−
2
x
−
71
)
=
0
(v)
(
x
2
−
4
x
−
71
)
=
0
Question
5
5.
Solve :
(
x
4
−
7
x
2
+
10
)
=
0
(i)
√
5
,
(
−
√
5
)
,
√
2
,
(
−
√
2
)
(ii)
√
8
,
(
−
√
8
)
,
√
4
,
(
−
√
5
)
(iii)
5
,
(
−
5
)
,
2
,
(
−
2
)
(iv)
4
√
5
,
(
−
4
√
5
)
,
4
√
2
,
(
−
4
√
2
)
(v)
√
2
,
(
−
√
2
)
,
√
-1
,
(
−
√
-1
)
Question
6
6.
Solve :
8
x
2
b
2
+
6
a
x
b
+
a
2
= 0
(i)
−
a
2
b
,
−
a
4
b
(ii)
−
a
4
b
,
−
a
6
b
(iii)
a
2
b
,
a
4
b
(iv)
−
3
a
2
b
,
−
3
a
4
b
(v)
−
a
b
,
−
a
2
b
Question
7
7.
Solve the quadratic equation
x
−
13
=
−
42
x
(i)
(
8
,
6
)
(ii)
(
8
,
5
)
(iii)
(
7
,
6
)
(iv)
(
9
,
5
)
(v)
(
9
,
4
)
Question
8
8.
The sum of the roots of the quadratic equation
(
x
2
−
11
x
+
28
)
=
0
is
(i)
8
(ii)
10
(iii)
14
(iv)
11
(v)
12
Question
9
9.
Solve :
27
x
2
b
2
−
30
x
b
+
8
= 0
(i)
1
b
,
2
3
b
(ii)
1
2
b
,
4
11
b
(iii)
1
b
,
4
7
b
(iv)
1
3
b
,
2
9
b
(v)
4
6
b
,
4
9
b
Question
10
10.
Solve :
6
x
2
−
8
√
6
x
+
15
=
0
(i)
5
√
4
√
6
,
3
√
6
(ii)
5
√
6
,
3
√
6
(iii)
5
√
24
,
3
√
24
(iv)
5
√
6
,
3
√
24
(v)
5
√
4
√
6
,
3
√
4
√
6
Question
11
11.
Find the quadratic equation with roots
(
6
,
8
)
(i)
(
x
2
−
13
x
+
40
)
=
0
(ii)
(
x
2
−
11
x
+
24
)
=
0
(iii)
(
x
2
−
15
x
+
54
)
=
0
(iv)
(
x
2
−
17
x
+
66
)
=
0
(v)
(
x
2
−
14
x
+
48
)
=
0
Question
12
12.
Solve :
(
x
(
x
+
4
)
)
2
−
1
(
x
(
x
+
4
)
)
−
12
= 0
(i)
-6
,
-6
(ii)
(
-14
3
)
,
-1
(iii)
(
-16
3
)
,
-3
(iv)
(
-26
5
)
,
-2
(v)
-6
,
-4
Question
13
13.
Solve :
56
x
2
a
2
−
5
x
a
−
6
= 0
(i)
5
8
a
,
0
(ii)
3
8
a
,
−
2
7
a
(iii)
1
8
a
,
−
4
7
a
(iv)
3
10
a
,
−
2
9
a
(v)
1
2
a
,
−
2
5
a
Question
14
14.
Solve :
21
x
2
b
2
+
13
a
2
x
b
+
2
a
4
= 0
(i)
−
2
a
2
7
b
,
−
a
2
3
b
(ii)
−
2
a
2
9
b
,
−
3
a
2
11
b
(iii)
−
4
a
2
7
b
,
−
5
a
2
9
b
(iv)
0
,
−
a
2
9
b
(v)
−
2
a
2
5
b
,
−
3
a
2
7
b
Question
15
15.
Find the discriminant of the quadratic equation
(
x
2
+
5
)
=
0
(i)
-22
(ii)
-19
(iii)
-20
(iv)
-18
(v)
-21
Question
16
16.
Find the roots of the quadratic equation
(
18
x
2
−
15
x
+
3
)
=
0
(i)
(
1
4
,
1
)
(ii)
(
1
4
,
1
3
)
(iii)
(
3
2
,
1
)
(iv)
(
3
2
,
(
-1
3
)
)
(v)
(
1
2
,
1
3
)
Question
17
17.
Find the discriminant of the quadratic equation
(
x
2
−
8
x
+
16
)
=
0
(i)
-3
(ii)
0
(iii)
1
(iv)
2
(v)
-1
Question
18
18.
Solve :
(
x
−
3
)
(
2
x
+
3
)
+
(
2
x
+
1
)
(
x
+
2
)
=
157
91
(i)
(
6
,
(
-83
49
)
)
(ii)
(
8
,
(
-79
47
)
)
(iii)
(
4
,
(
-79
45
)
)
(iv)
(
3
,
(
-83
47
)
)
(v)
(
5
,
(
-81
47
)
)
Question
19
19.
Find the discriminant of the quadratic equation
(
x
2
−
2
x
)
=
0
(i)
3
(ii)
2
(iii)
5
(iv)
7
(v)
4
Question
20
20.
Solve :
(
x
2
−
8
x
)
2
−
10
(
x
2
−
8
x
)
+
24
=
0
(i)
(
4
+
4
√
22
)
,
(
4
−
4
√
22
)
,
(
4
+
2
4
√
5
)
,
(
4
−
2
4
√
5
)
(ii)
(
6
+
√
22
)
,
(
7
−
√
22
)
,
(
7
+
2
√
5
)
,
(
6
−
2
√
5
)
(iii)
(
4
+
22
)
,
(
4
−
22
)
,
(
4
+
10
)
,
(
4
−
10
)
(iv)
(
2
+
√
22
)
,
(
1
−
√
22
)
,
(
2
+
2
√
5
)
,
(
2
−
2
√
5
)
(v)
(
4
+
√
22
)
,
(
4
−
√
22
)
,
(
4
+
2
√
5
)
,
(
4
−
2
√
5
)
Question
21
21.
If
a
x
2
+
b
x
+
c
is exactly divisible by
(
x
−
9
)
,
(
x
+
7
)
and leaves a remainder of
-48
when divided by
(
x
+
3
)
, find
a
,
b
and
c
(i)
a
=
1
,
b
=
-1
,
c
=
-62
(ii)
a
=
1
,
b
=
-3
,
c
=
-64
(iii)
a
=
1
,
b
=
-4
,
c
=
-66
(iv)
a
=
1
,
b
=
0
,
c
=
-60
(v)
a
=
1
,
b
=
-2
,
c
=
-63
Question
22
22.
Solve :
64
x
2
b
+
8
x
b
+
8
x
+
1
= 0
(i)
−
1
8
,
−
1
8
b
(ii)
−
3
8
,
−
3
8
b
(iii)
−
1
6
,
−
1
6
b
(iv)
−
1
10
,
−
1
10
b
(v)
1
8
,
1
8
b
Question
23
23.
Solve :
x
2
−
18
x
+
66
=
0
(i)
(
9
+
√
45
)
,
(
9
−
√
45
)
(ii)
(
9
√
5
+
√
15
)
,
(
9
√
5
−
√
15
)
(iii)
(
9
+
√
30
)
,
(
9
−
√
30
)
(iv)
(
9
+
√
15
)
,
(
9
−
√
15
)
(v)
(
9
√
4
+
√
15
)
,
(
9
√
4
−
√
15
)
Question
24
24.
Solve :
10
x
2
−
a
b
2
x
−
3
a
2
b
4
= 0
(i)
a
b
2
,
0
(ii)
a
b
2
,
−
a
b
2
(iii)
3
a
b
2
5
,
−
a
b
2
2
(iv)
3
a
b
2
7
,
−
a
b
2
3
(v)
a
b
2
5
,
−
a
b
2
Question
25
25.
Solve :
12
x
2
a
+
9
x
+
8
x
a
+
6
= 0
(i)
−
3
2
a
,
−
2
(ii)
−
1
4
a
,
0
(iii)
−
5
4
a
,
−
4
3
(iv)
−
1
2
a
,
−
2
5
(v)
−
3
4
a
,
−
2
3
Assignment Key
1) (ii)
2) (i)
3) (v)
4) (iv)
5) (i)
6) (i)
7) (iii)
8) (iv)
9) (v)
10) (ii)
11) (v)
12) (iii)
13) (ii)
14) (i)
15) (iii)
16) (v)
17) (ii)
18) (v)
19) (v)
20) (v)
21) (v)
22) (i)
23) (iv)
24) (iii)
25) (v)
