EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadratic Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
21
x
2
−
10
a
b
x
+
a
2
b
2
= 0
(i)
−
a
b
3
,
−
a
b
7
(ii)
a
b
3
,
a
b
7
(iii)
a
b
5
,
a
b
9
(iv)
a
b
,
a
b
5
(v)
a
b
,
3
a
b
7
Question
2
2.
Find the roots of the quadratic equation
(
24
x
2
+
38
x
+
8
)
=
0
(i)
(
(
-1
6
)
,
-2
)
(ii)
(
(
-1
4
)
,
(
-4
3
)
)
(iii)
(
(
-1
6
)
,
(
-4
3
)
)
(iv)
(
1
4
,
-2
)
Question
3
3.
Find the roots of the quadratic equation
(
x
2
−
14
x
+
48
)
=
0
(i)
(
9
,
6
)
(ii)
(
10
,
5
)
(iii)
(
8
,
6
)
(iv)
(
10
,
3
)
(v)
(
9
,
5
)
Question
4
4.
Find the discriminant of the quadratic equation
(
x
2
−
x
−
12
)
=
0
(i)
51
(ii)
46
(iii)
48
(iv)
50
(v)
49
Question
5
5.
Solve :
(
8
x
+
2
)
(
4
x
+
2
)
=
(
21
x
+
2
)
(
11
x
+
2
)
(i)
(
3
,
0
)
(ii)
(
2
,
-1
)
(iii)
(
-3
,
0
)
(iv)
(
6
,
3
)
(v)
(
0
,
-2
)
Question
6
6.
Solve :
3
(
x
−
1
)
−
1
(
−
x
−
3
)
=
−
4
(i)
(
−
3
)
,
1
(ii)
(
−
3
√
3
)
,
√
3
(iii)
(
−
3
√
2
)
,
√
2
(iv)
(
−
3
√
4
)
,
√
4
(v)
(
−
3
√
5
)
,
√
5
Question
7
7.
Solve the quadratic equation
x
+
18
x
=
11
(i)
(
9
,
2
)
(ii)
(
10
,
1
)
(iii)
(
12
,
1
)
(iv)
(
12
,
0
)
(v)
(
10
,
2
)
Question
8
8.
Solve :
(
x
+
2
)
(
2
x
+
3
)
+
(
x
−
3
)
(
2
x
+
1
)
=
103
143
(i)
(
7
,
(
-129
80
)
)
(ii)
(
4
,
(
-43
26
)
)
(iii)
(
5
,
(
-131
80
)
)
(iv)
(
6
,
(
-133
82
)
)
(v)
(
2
,
(
-133
80
)
)
Question
9
9.
Find the roots of the quadratic equation
(
36
x
2
+
42
x
+
12
)
=
0
(i)
(
(
-1
4
)
,
(
-2
3
)
)
(ii)
(
1
2
,
(
-4
3
)
)
(iii)
(
(
-1
2
)
,
(
-2
3
)
)
(iv)
(
(
-1
4
)
,
-2
)
(v)
(
1
2
,
-2
)
Question
10
10.
Find the roots of the quadratic equation
(
x
2
−
17
x
+
72
)
=
0
(i)
(
10
,
7
)
(ii)
(
10
,
8
)
(iii)
(
9
,
8
)
(iv)
(
12
,
5
)
(v)
(
12
,
7
)
Question
11
11.
Solve :
(
x
−
6
)
(
x
−
8
)
+
(
x
−
4
)
(
x
−
9
)
=
31
6
(i)
(
172
21
,
12
)
(ii)
(
156
19
,
11
)
(iii)
(
140
17
,
10
)
(iv)
(
154
19
,
8
)
(v)
(
158
19
,
14
)
Question
12
12.
Solve :
8
x
2
−
2
a
b
x
−
3
a
2
b
2
= 0
(i)
a
b
2
,
−
a
b
4
(ii)
3
a
b
4
,
−
a
b
2
(iii)
5
a
b
4
,
a
b
2
(iv)
3
a
b
2
,
−
a
b
(v)
a
b
4
,
−
3
a
b
2
Question
13
13.
Solve :
(
5
x
+
4
)
(
2
x
+
1
)
=
(
3
x
+
5
)
(
x
+
3
)
(i)
(
-3
,
5
)
(ii)
(
1
,
10
)
(iii)
(
-2
,
6
)
(iv)
(
1
,
-7
)
(v)
(
-1
,
7
)
Question
14
14.
Solve :
10
x
2
−
11
a
b
x
+
3
a
2
b
2
= 0
(i)
a
b
5
,
0
(ii)
3
a
b
7
,
a
b
3
(iii)
a
b
,
a
b
(iv)
3
a
b
5
,
2
a
b
4
Question
15
15.
Find the roots of the quadratic equation
(
x
2
+
3
x
+
2
)
=
0
(i)
(
1
,
-4
)
(ii)
(
0
,
-2
)
(iii)
(
-1
,
-2
)
(iv)
(
0
,
-3
)
(v)
(
1
,
-3
)
Question
16
16.
Find the roots of the quadratic equation
(
64
x
2
+
24
x
)
=
0
(i)
(
3
,
(
-1
2
)
)
(ii)
(
1
,
(
-1
2
)
)
(iii)
(
1
,
(
-3
8
)
)
(iv)
(
0
,
(
-3
8
)
)
(v)
(
3
,
(
-5
8
)
)
Question
17
17.
Solve :
5
(
x
+
5
)
+
3
(
−
x
−
2
)
=
4
x
(i)
(
−
33
4
√
5
+
1
4
√
769
)
,
(
−
33
4
√
5
−
1
4
√
769
)
(ii)
(
−
33
4
+
1
4
√
2307
)
,
(
−
33
4
−
1
4
√
2307
)
(iii)
(
−
33
4
√
4
+
1
4
√
769
)
,
(
−
33
4
√
4
−
1
4
√
769
)
(iv)
(
−
33
4
+
1
4
√
1538
)
,
(
−
33
4
−
1
4
√
1538
)
(v)
(
−
33
4
+
1
4
√
769
)
,
(
−
33
4
−
1
4
√
769
)
Question
18
18.
Solve the quadratic equation
x
+
2
=
63
x
(i)
(
8
,
-9
)
(ii)
(
8
,
-10
)
(iii)
(
7
,
-9
)
(iv)
(
9
,
-10
)
(v)
(
9
,
-12
)
Question
19
19.
Find the roots of the quadratic equation
(
x
2
+
10
x
+
16
)
=
0
(i)
(
0
,
-10
)
(ii)
(
-2
,
-8
)
(iii)
(
-1
,
-8
)
(iv)
(
-1
,
-9
)
(v)
(
0
,
-9
)
Question
20
20.
Find the roots of the quadratic equation
(
24
x
2
+
27
x
+
3
)
=
0
(i)
(
(
-1
10
)
,
-1
)
(ii)
(
(
-1
10
)
,
-2
)
(iii)
(
1
8
,
-2
)
(iv)
(
(
-1
8
)
,
-1
)
(v)
(
1
8
,
-4
)
Question
21
21.
Find the discriminant of the quadratic equation
x
2
=
0
(i)
2
(ii)
-2
(iii)
-1
(iv)
1
(v)
0
Question
22
22.
Solve :
−
5
(
x
+
3
)
−
4
(
−
x
+
1
)
=
−
4
(i)
(
−
3
)
,
1
(ii)
(
−
3
√
4
)
,
√
4
(iii)
(
−
3
√
3
)
,
√
3
(iv)
(
−
3
√
5
)
,
√
5
(v)
(
−
3
√
2
)
,
√
2
Question
23
23.
Find the roots of the quadratic equation
(
x
2
−
3
x
+
2
)
=
0
(i)
(
3
,
1
)
(ii)
(
5
,
-2
)
(iii)
(
2
,
1
)
(iv)
(
3
,
0
)
(v)
(
5
,
0
)
Question
24
24.
Solve :
1
(
x
−
1
)
+
3
(
x
+
4
)
=
−
2
(
x
+
5
)
(i)
(
−
9
4
+
1
4
√
267
)
,
(
−
9
4
−
1
4
√
267
)
(ii)
(
−
9
4
+
1
4
√
89
)
,
(
−
9
4
−
1
4
√
89
)
(iii)
(
−
9
4
√
4
+
1
4
√
89
)
,
(
−
9
4
√
4
−
1
4
√
89
)
(iv)
(
−
9
4
+
1
4
√
178
)
,
(
−
9
4
−
1
4
√
178
)
(v)
(
−
9
4
√
5
+
1
4
√
89
)
,
(
−
9
4
√
5
−
1
4
√
89
)
Question
25
25.
Solve :
(
6
x
+
1
)
(
5
x
+
1
)
+
(
2
x
+
1
)
(
3
x
+
1
)
=
146
77
(i)
(
(
-2
15
)
,
1
)
(ii)
(
(
-2
17
)
,
2
)
(iii)
(
0
,
5
)
(iv)
(
(
-2
19
)
,
3
)
(v)
(
(
-4
17
)
,
-1
)
Assignment Key
1) (ii)
2) (ii)
3) (iii)
4) (v)
5) (i)
6) (i)
7) (i)
8) (iii)
9) (iii)
10) (iii)
11) (ii)
12) (ii)
13) (v)
14) (iv)
15) (iii)
16) (iv)
17) (v)
18) (iii)
19) (ii)
20) (iv)
21) (v)
22) (i)
23) (iii)
24) (ii)
25) (ii)
