EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadratic Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
(
38
x
+
1
)
(
16
x
+
1
)
=
(
45
x
+
1
)
(
19
x
+
1
)
(i)
(
2
,
0
)
(ii)
(
5
,
2
)
(iii)
(
1
,
-1
)
(iv)
(
-2
,
0
)
(v)
(
-1
,
-2
)
Question
2
2.
Solve :
4
x
2
−
a
2
b
2
= 0
(i)
−
3
a
b
2
,
−
a
b
2
(ii)
−
a
b
,
a
b
(iii)
−
a
b
2
,
a
b
2
(iv)
−
a
b
4
,
a
b
4
(v)
a
b
2
,
3
a
b
2
Question
3
3.
Find the roots of the quadratic equation
(
x
2
+
10
x
+
9
)
=
0
(i)
(
0
,
-9
)
(ii)
(
1
,
-10
)
(iii)
(
-1
,
-9
)
(iv)
(
1
,
-11
)
(v)
(
0
,
-10
)
Question
4
4.
Solve :
10
x
2
−
3
a
b
x
−
4
a
2
b
2
= 0
(i)
4
a
b
3
,
−
a
b
(ii)
4
a
b
5
,
−
a
b
2
(iii)
4
a
b
7
,
−
a
b
3
(iv)
6
a
b
5
,
0
(v)
2
a
b
5
,
−
a
b
Question
5
5.
Find the roots of the quadratic equation
(
x
2
−
11
x
+
18
)
=
0
(i)
(
10
,
2
)
(ii)
(
10
,
1
)
(iii)
(
9
,
2
)
(iv)
(
11
,
0
)
(v)
(
11
,
1
)
Question
6
6.
Solve :
3
(
−
x
+
4
)
+
1
(
−
x
+
3
)
=
−
2
(
x
+
3
)
(i)
(
−
13
4
−
1
4
√
2019
)
,
(
−
13
4
+
1
4
√
2019
)
(ii)
(
−
13
4
√
5
−
1
4
√
673
)
,
(
−
13
4
√
5
+
1
4
√
673
)
(iii)
(
−
13
4
−
1
4
√
673
)
,
(
−
13
4
+
1
4
√
673
)
(iv)
(
−
13
4
√
4
−
1
4
√
673
)
,
(
−
13
4
√
4
+
1
4
√
673
)
(v)
(
−
13
4
−
1
4
√
1346
)
,
(
−
13
4
+
1
4
√
1346
)
Question
7
7.
Find the roots of the quadratic equation
(
x
2
+
8
x
+
16
)
=
0
(i)
(
-2
,
-7
)
(ii)
(
-4
,
-4
)
(iii)
(
-3
,
-4
)
(iv)
(
-3
,
-5
)
(v)
(
-2
,
-5
)
Question
8
8.
Find the roots of the quadratic equation
(
x
2
−
12
x
+
27
)
=
0
(i)
(
10
,
3
)
(ii)
(
11
,
2
)
(iii)
(
11
,
0
)
(iv)
(
10
,
2
)
(v)
(
9
,
3
)
Question
9
9.
Find the roots of the quadratic equation
(
40
x
2
+
11
x
−
2
)
=
0
(i)
(
3
8
,
(
-4
5
)
)
(ii)
(
3
8
,
(
-2
3
)
)
(iii)
(
1
10
,
(
-2
3
)
)
(iv)
(
1
10
,
(
-2
5
)
)
(v)
(
1
8
,
(
-2
5
)
)
Question
10
10.
Find the roots of the quadratic equation
(
10
x
2
−
15
x
+
5
)
=
0
(i)
(
3
,
1
)
(ii)
(
2
,
1
)
(iii)
(
3
,
(
-1
2
)
)
(iv)
(
2
,
1
2
)
(v)
(
1
,
1
2
)
Question
11
11.
Solve :
(
x
+
2
)
(
x
−
9
)
+
(
x
−
8
)
(
x
−
4
)
=
97
14
(i)
(
230
67
,
10
)
(ii)
(
236
69
,
11
)
(iii)
(
242
71
,
12
)
(iv)
(
238
69
,
14
)
(v)
(
78
23
,
9
)
Question
12
12.
Find the roots of the quadratic equation
(
x
2
−
15
x
+
54
)
=
0
(i)
(
10
,
6
)
(ii)
(
10
,
5
)
(iii)
(
11
,
4
)
(iv)
(
11
,
5
)
(v)
(
9
,
6
)
Question
13
13.
Find the discriminant of the quadratic equation
(
x
2
−
3
x
−
4
)
=
0
(i)
25
(ii)
26
(iii)
23
(iv)
27
(v)
24
Question
14
14.
Solve the quadratic equation
x
+
5
=
6
x
(i)
(
2
,
-6
)
(ii)
(
2
,
-7
)
(iii)
(
3
,
-8
)
(iv)
(
1
,
-6
)
(v)
(
3
,
-7
)
Question
15
15.
Solve :
1
(
x
−
1
)
−
5
(
x
+
2
)
=
−
5
(
x
−
2
)
(i)
(
−
10
√
5
+
2
√
31
)
,
(
−
10
√
5
−
2
√
31
)
(ii)
(
−
10
+
2
√
62
)
,
(
−
10
−
2
√
62
)
(iii)
(
−
10
√
4
+
2
√
31
)
,
(
−
10
√
4
−
2
√
31
)
(iv)
(
−
10
+
2
√
93
)
,
(
−
10
−
2
√
93
)
(v)
(
−
10
+
2
√
31
)
,
(
−
10
−
2
√
31
)
Question
16
16.
Find the discriminant of the quadratic equation
(
x
2
−
8
x
+
15
)
=
0
(i)
3
(ii)
4
(iii)
5
(iv)
1
(v)
6
Question
17
17.
Solve the quadratic equation
x
−
2
=
8
x
(i)
(
5
,
-2
)
(ii)
(
6
,
-3
)
(iii)
(
5
,
-3
)
(iv)
(
6
,
-4
)
(v)
(
4
,
-2
)
Question
18
18.
Find the roots of the quadratic equation
(
45
x
2
+
15
x
)
=
0
(i)
(
1
,
-1
)
(ii)
(
1
,
(
-1
3
)
)
(iii)
(
0
,
(
-1
3
)
)
(iv)
(
3
,
-1
)
Question
19
19.
Solve :
−
2
(
−
x
−
3
)
−
5
(
x
−
1
)
=
5
(i)
√
3
,
(
−
3
√
3
)
(ii)
1
,
(
−
3
)
(iii)
√
2
,
(
−
3
√
2
)
(iv)
√
4
,
(
−
3
√
4
)
(v)
√
5
,
(
−
3
√
5
)
Question
20
20.
Find the roots of the quadratic equation
(
6
x
2
−
19
x
+
10
)
=
0
(i)
(
5
2
,
2
3
)
(ii)
(
7
2
,
0
)
(iii)
(
9
4
,
2
)
(iv)
(
9
4
,
2
3
)
(v)
(
7
2
,
2
)
Question
21
21.
Solve :
(
x
+
2
)
(
2
x
+
1
)
+
(
x
−
2
)
(
2
x
+
3
)
=
124
143
(i)
(
4
,
10
17
)
(ii)
(
5
,
10
19
)
(iii)
(
7
,
12
19
)
(iv)
(
3
,
8
19
)
(v)
(
6
,
10
21
)
Question
22
22.
Find the roots of the quadratic equation
(
20
x
2
−
3
x
−
9
)
=
0
(i)
(
5
4
,
-1
)
(ii)
(
1
2
,
(
-3
5
)
)
(iii)
(
3
4
,
(
-3
5
)
)
(iv)
(
1
2
,
-1
)
Question
23
23.
Solve :
(
x
+
4
)
(
x
−
5
)
=
(
3
x
+
2
)
(
x
+
3
)
(i)
(
-1
,
11
)
(ii)
(
-2
,
10
)
(iii)
(
-3
,
9
)
(iv)
(
1
,
-11
)
(v)
(
2
,
14
)
Question
24
24.
Find the discriminant of the quadratic equation
(
x
2
+
8
x
+
16
)
=
0
(i)
3
(ii)
-1
(iii)
0
(iv)
-3
(v)
1
Question
25
25.
Solve :
3
(
−
x
−
5
)
−
2
(
−
x
−
4
)
=
−
4
(i)
(
−
4
√
4
)
,
(
−
5
√
4
)
(ii)
(
−
4
√
5
)
,
(
−
5
√
5
)
(iii)
(
−
4
√
2
)
,
(
−
5
√
2
)
(iv)
(
−
4
√
3
)
,
(
−
5
√
3
)
(v)
(
−
4
)
,
(
−
5
)
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (ii)
5) (iii)
6) (iii)
7) (ii)
8) (v)
9) (v)
10) (v)
11) (ii)
12) (v)
13) (i)
14) (iv)
15) (v)
16) (ii)
17) (v)
18) (iii)
19) (ii)
20) (i)
21) (ii)
22) (iii)
23) (i)
24) (iii)
25) (v)
