EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadratic Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve :
−
4
(
−
x
)
−
2
(
−
x
−
5
)
=
4
(
x
+
5
)
(i)
(
−
5
√
3
)
,
(
−
10
√
3
)
(ii)
(
−
5
)
,
(
−
10
)
(iii)
(
−
5
√
5
)
,
(
−
10
√
5
)
(iv)
(
−
5
√
4
)
,
(
−
10
√
4
)
(v)
(
−
5
√
2
)
,
(
−
10
√
2
)
Question
2
2.
Find the roots of the quadratic equation
(
16
x
2
+
18
x
−
9
)
=
0
(i)
(
5
8
,
(
-5
2
)
)
(ii)
(
3
10
,
-2
)
(iii)
(
3
10
,
(
-3
2
)
)
(iv)
(
3
8
,
(
-3
2
)
)
(v)
(
5
8
,
-2
)
Question
3
3.
Find the discriminant of the quadratic equation
(
x
2
+
x
−
20
)
=
0
(i)
82
(ii)
80
(iii)
81
(iv)
78
(v)
83
Question
4
4.
Find the roots of the quadratic equation
(
25
x
2
−
50
x
+
25
)
=
0
(i)
(
1
,
1
)
(ii)
(
4
,
-2
)
(iii)
(
2
,
0
)
(iv)
(
2
,
1
)
(v)
(
4
,
0
)
Question
5
5.
Solve :
−
2
(
−
x
−
1
)
−
4
(
−
x
−
3
)
=
2
x
(i)
1
,
(
−
3
2
)
(ii)
√
5
,
(
−
3
2
√
5
)
(iii)
√
4
,
(
−
3
2
√
4
)
(iv)
√
2
,
(
−
3
2
√
2
)
(v)
√
3
,
(
−
3
2
√
3
)
Question
6
6.
Find the roots of the quadratic equation
(
35
x
2
−
13
x
−
12
)
=
0
(i)
(
4
7
,
(
-3
5
)
)
(ii)
(
6
5
,
(
-5
7
)
)
(iii)
(
6
5
,
(
-3
5
)
)
(iv)
(
4
5
,
(
-3
7
)
)
(v)
(
4
7
,
(
-3
7
)
)
Question
7
7.
Find the roots of the quadratic equation
(
30
x
2
−
6
x
)
=
0
(i)
(
1
5
,
0
)
(ii)
(
1
7
,
-1
)
(iii)
(
3
5
,
-2
)
(iv)
(
3
5
,
-1
)
(v)
(
1
7
,
0
)
Question
8
8.
Solve :
−
2
(
x
+
4
)
−
1
(
−
x
−
2
)
=
3
(i)
(
−
2
√
4
)
,
(
−
4
√
4
)
(ii)
(
−
2
√
5
)
,
(
−
4
√
5
)
(iii)
(
−
2
)
,
(
−
4
)
(iv)
(
−
2
√
3
)
,
(
−
4
√
3
)
(v)
(
−
2
√
2
)
,
(
−
4
√
2
)
Question
9
9.
Find the roots of the quadratic equation
(
x
2
−
9
x
+
20
)
=
0
(i)
(
6
,
4
)
(ii)
(
6
,
3
)
(iii)
(
5
,
4
)
(iv)
(
7
,
3
)
(v)
(
7
,
2
)
Question
10
10.
Solve :
28
x
2
+
45
a
b
x
+
18
a
2
b
2
= 0
(i)
−
6
a
b
5
,
−
3
a
b
2
(ii)
−
6
a
b
7
,
−
3
a
b
4
(iii)
−
8
a
b
7
,
−
5
a
b
4
(iv)
−
4
a
b
7
,
−
a
b
4
(v)
−
2
a
b
3
,
−
a
b
2
Question
11
11.
Solve :
(
x
−
3
)
(
4
x
+
3
)
=
(
x
+
1
)
(
5
x
+
12
)
(i)
(
-13
,
3
)
(ii)
(
11
,
-5
)
(iii)
(
15
,
0
)
(iv)
(
13
,
-3
)
(v)
(
12
,
-4
)
Question
12
12.
Find the discriminant of the quadratic equation
(
x
2
+
x
−
6
)
=
0
(i)
26
(ii)
27
(iii)
25
(iv)
24
(v)
22
Question
13
13.
Solve :
(
x
−
8
)
(
x
−
6
)
+
(
x
−
2
)
(
x
−
11
)
=
87
14
(i)
(
332
59
,
11
)
(ii)
(
344
61
,
14
)
(iii)
(
108
19
,
12
)
(iv)
(
336
59
,
16
)
(v)
(
334
59
,
13
)
Question
14
14.
Solve :
(
x
−
1
)
(
4
x
+
1
)
+
(
x
+
2
)
(
3
x
+
2
)
=
87
143
(i)
(
56
43
,
1
)
(ii)
(
4
3
,
4
)
(iii)
(
56
41
,
2
)
(iv)
(
58
43
,
3
)
(v)
(
60
43
,
5
)
Question
15
15.
Solve :
−
4
(
x
+
3
)
−
1
(
−
x
+
3
)
=
3
(
x
+
4
)
(i)
(
1
4
√
4
+
1
4
√
233
)
,
(
1
4
√
4
−
1
4
√
233
)
(ii)
(
1
4
+
1
4
√
233
)
,
(
1
4
−
1
4
√
233
)
(iii)
(
1
4
+
1
4
√
699
)
,
(
1
4
−
1
4
√
699
)
(iv)
(
1
4
+
1
4
√
466
)
,
(
1
4
−
1
4
√
466
)
(v)
(
1
4
√
5
+
1
4
√
233
)
,
(
1
4
√
5
−
1
4
√
233
)
Question
16
16.
Solve the quadratic equation
x
+
18
x
=
−
9
(i)
(
-2
,
-7
)
(ii)
(
-1
,
-9
)
(iii)
(
-1
,
-7
)
(iv)
(
-3
,
-6
)
(v)
(
-2
,
-6
)
Question
17
17.
Find the roots of the quadratic equation
(
24
x
2
−
10
x
−
4
)
=
0
(i)
(
4
3
,
(
-3
4
)
)
(ii)
(
4
3
,
(
-1
2
)
)
(iii)
(
2
5
,
(
-1
4
)
)
(iv)
(
2
3
,
(
-1
4
)
)
(v)
(
2
5
,
(
-1
2
)
)
Question
18
18.
Find the roots of the quadratic equation
(
x
2
−
13
x
+
36
)
=
0
(i)
(
9
,
4
)
(ii)
(
12
,
1
)
(iii)
(
10
,
4
)
(iv)
(
10
,
3
)
(v)
(
12
,
3
)
Question
19
19.
Solve :
45
x
2
+
7
a
b
x
−
12
a
2
b
2
= 0
(i)
4
a
b
11
,
−
3
a
b
7
(ii)
4
a
b
7
,
−
a
b
(iii)
4
a
b
9
,
−
3
a
b
5
(iv)
2
a
b
9
,
−
a
b
(v)
2
a
b
3
,
−
a
b
5
Question
20
20.
Solve the quadratic equation
x
−
5
=
−
6
x
(i)
(
5
,
1
)
(ii)
(
5
,
-1
)
(iii)
(
4
,
1
)
(iv)
(
3
,
2
)
(v)
(
4
,
2
)
Question
21
21.
Find the roots of the quadratic equation
(
x
2
+
17
x
+
72
)
=
0
(i)
(
-5
,
-10
)
(ii)
(
-7
,
-10
)
(iii)
(
-7
,
-9
)
(iv)
(
-5
,
-12
)
(v)
(
-8
,
-9
)
Question
22
22.
Solve :
(
4
x
+
2
)
(
28
x
+
3
)
=
(
x
+
1
)
(
7
x
+
4
)
(i)
(
8
,
7
)
(ii)
(
4
,
4
)
(iii)
(
3
,
2
)
(iv)
(
5
,
5
)
(v)
(
-5
,
-5
)
Question
23
23.
Solve :
2
(
x
+
3
)
+
5
(
−
x
−
5
)
=
3
(i)
(
−
3
√
2
)
,
(
−
5
√
2
)
(ii)
(
−
3
√
4
)
,
(
−
5
√
4
)
(iii)
(
−
3
)
,
(
−
5
)
(iv)
(
−
3
√
3
)
,
(
−
5
√
3
)
(v)
(
−
3
√
5
)
,
(
−
5
√
5
)
Question
24
24.
Find the roots of the quadratic equation
(
x
2
+
17
x
+
72
)
=
0
(i)
(
-5
,
-10
)
(ii)
(
-5
,
-12
)
(iii)
(
-7
,
-9
)
(iv)
(
-7
,
-10
)
(v)
(
-8
,
-9
)
Question
25
25.
Solve :
27
x
2
−
12
a
b
x
+
a
2
b
2
= 0
(i)
a
b
11
,
a
b
4
(ii)
a
b
7
,
a
b
2
(iii)
a
b
9
,
2
a
b
6
(iv)
a
b
3
,
2
a
b
3
(v)
−
a
b
9
,
0
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (i)
5) (i)
6) (iv)
7) (i)
8) (iii)
9) (iii)
10) (ii)
11) (iv)
12) (iii)
13) (v)
14) (iv)
15) (ii)
16) (iv)
17) (iv)
18) (i)
19) (iii)
20) (iv)
21) (v)
22) (iv)
23) (iii)
24) (v)
25) (iii)
