EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadratic Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the discriminant of the quadratic equation
(
x
2
−
3
x
−
4
)
=
0
(i)
25
(ii)
26
(iii)
24
(iv)
27
(v)
22
Question
2
2.
Solve :
(
5
x
+
10
)
(
2
x
+
4
)
=
(
x
+
4
)
(
x
−
5
)
(i)
(
11
,
-2
)
(ii)
(
10
,
-3
)
(iii)
(
-11
,
2
)
(iv)
(
14
,
1
)
(v)
(
9
,
-4
)
Question
3
3.
Solve :
−
3
(
x
−
2
)
−
2
(
−
x
+
3
)
=
−
2
(i)
2
√
5
,
3
√
5
(ii)
2
√
4
,
3
√
4
(iii)
2
√
2
,
3
√
2
(iv)
2
,
3
(v)
2
√
3
,
3
√
3
Question
4
4.
Solve :
(
x
−
10
)
(
x
−
11
)
+
(
x
−
8
)
(
x
−
6
)
=
31
14
(i)
(
-2
,
12
)
(ii)
(
(
-2
3
)
,
13
)
(iii)
(
(
-2
5
)
,
14
)
(iv)
(
(
-4
3
)
,
11
)
(v)
(
0
,
16
)
Question
5
5.
Find the discriminant of the quadratic equation
(
x
2
+
7
x
+
10
)
=
0
(i)
8
(ii)
6
(iii)
9
(iv)
11
(v)
10
Question
6
6.
Solve :
24
x
2
+
38
a
b
x
+
15
a
2
b
2
= 0
(i)
−
3
a
b
4
,
−
5
a
b
6
(ii)
−
a
b
2
,
−
a
b
2
(iii)
−
a
b
,
−
5
a
b
4
(iv)
−
a
b
,
−
7
a
b
6
(v)
−
3
a
b
5
,
−
5
a
b
8
Question
7
7.
Solve :
(
x
+
2
)
(
2
x
+
3
)
+
(
x
−
2
)
(
x
−
3
)
=
53
26
(i)
(
(
-31
26
)
,
4
)
(ii)
(
(
-5
4
)
,
3
)
(iii)
(
(
-31
28
)
,
8
)
(iv)
(
(
-33
28
)
,
5
)
(v)
(
(
-7
6
)
,
6
)
Question
8
8.
Find the roots of the quadratic equation
(
35
x
2
−
10
x
−
25
)
=
0
(i)
(
1
,
(
-5
7
)
)
(ii)
(
2
,
-1
)
(iii)
(
4
,
-1
)
(iv)
(
2
,
(
-5
7
)
)
Question
9
9.
Solve :
−
1
(
x
+
2
)
+
1
(
−
x
−
4
)
=
−
5
(
x
+
3
)
(i)
(
−
3
−
1
3
√
15
)
,
(
−
3
+
1
3
√
15
)
(ii)
(
−
3
√
4
−
1
3
√
15
)
,
(
−
3
√
4
+
1
3
√
15
)
(iii)
(
−
3
−
1
3
√
30
)
,
(
−
3
+
1
3
√
30
)
(iv)
(
−
3
−
1
3
√
45
)
,
(
−
3
+
1
3
√
45
)
(v)
(
−
3
√
5
−
1
3
√
15
)
,
(
−
3
√
5
+
1
3
√
15
)
Question
10
10.
Find the roots of the quadratic equation
(
x
2
−
11
x
+
30
)
=
0
(i)
(
8
,
3
)
(ii)
(
7
,
4
)
(iii)
(
7
,
5
)
(iv)
(
8
,
4
)
(v)
(
6
,
5
)
Question
11
11.
Find the roots of the quadratic equation
(
x
2
+
12
x
+
32
)
=
0
(i)
(
-4
,
-8
)
(ii)
(
-3
,
-8
)
(iii)
(
-1
,
-10
)
(iv)
(
-1
,
-9
)
(v)
(
-3
,
-9
)
Question
12
12.
Find the roots of the quadratic equation
(
x
2
−
9
x
+
20
)
=
0
(i)
(
6
,
4
)
(ii)
(
5
,
4
)
(iii)
(
8
,
2
)
(iv)
(
6
,
3
)
(v)
(
8
,
3
)
Question
13
13.
Find the roots of the quadratic equation
(
32
x
2
+
24
x
+
4
)
=
0
(i)
(
1
4
,
(
-3
2
)
)
(ii)
(
(
-1
4
)
,
(
-1
2
)
)
(iii)
(
1
4
,
-1
)
(iv)
(
(
-1
6
)
,
(
-1
2
)
)
(v)
(
(
-1
6
)
,
-1
)
Question
14
14.
Find the roots of the quadratic equation
(
48
x
2
+
8
x
−
8
)
=
0
(i)
(
1
5
,
(
-1
2
)
)
(ii)
(
1
,
(
-3
2
)
)
(iii)
(
1
3
,
(
-1
2
)
)
(iv)
(
1
,
-1
)
(v)
(
1
5
,
-1
)
Question
15
15.
Find the roots of the quadratic equation
(
x
2
+
12
x
+
35
)
=
0
(i)
(
-4
,
-8
)
(ii)
(
-2
,
-10
)
(iii)
(
-4
,
-7
)
(iv)
(
-2
,
-8
)
(v)
(
-5
,
-7
)
Question
16
16.
Solve :
1
(
−
x
+
2
)
−
5
(
x
−
4
)
=
−
5
(
x
+
3
)
(i)
(
−
17
+
√
371
)
,
(
−
17
−
√
371
)
(ii)
(
−
17
+
√
1113
)
,
(
−
17
−
√
1113
)
(iii)
(
−
17
√
4
+
√
371
)
,
(
−
17
√
4
−
√
371
)
(iv)
(
−
17
+
√
742
)
,
(
−
17
−
√
742
)
(v)
(
−
17
√
5
+
√
371
)
,
(
−
17
√
5
−
√
371
)
Question
17
17.
Solve :
4
x
2
+
4
a
b
x
+
a
2
b
2
= 0
(i)
−
3
a
b
8
,
−
2
a
b
5
(ii)
−
a
b
2
,
−
a
b
2
(iii)
−
a
b
6
,
−
a
b
4
(iv)
−
5
a
b
6
,
−
3
a
b
4
(v)
−
3
a
b
4
,
−
2
a
b
3
Question
18
18.
Solve the quadratic equation
x
+
7
=
−
10
x
(i)
(
0
,
-8
)
(ii)
(
-1
,
-6
)
(iii)
(
-1
,
-5
)
(iv)
(
-2
,
-5
)
(v)
(
0
,
-6
)
Question
19
19.
Solve :
3
(
−
x
−
2
)
+
5
(
−
x
−
3
)
=
5
(i)
(
−
3
)
,
(
−
2
)
(ii)
(
−
3
√
2
)
,
(
−
2
√
2
)
(iii)
(
−
3
√
5
)
,
(
−
2
√
5
)
(iv)
(
−
3
√
3
)
,
(
−
2
√
3
)
(v)
(
−
3
√
4
)
,
(
−
2
√
4
)
Question
20
20.
Solve :
25
x
2
+
5
a
b
x
−
2
a
2
b
2
= 0
(i)
a
b
3
,
−
2
a
b
3
(ii)
a
b
7
,
−
2
a
b
7
(iii)
−
a
b
5
,
−
4
a
b
5
(iv)
3
a
b
5
,
0
(v)
a
b
5
,
−
2
a
b
5
Question
21
21.
Find the roots of the quadratic equation
(
x
2
−
10
x
+
24
)
=
0
(i)
(
7
,
4
)
(ii)
(
9
,
3
)
(iii)
(
9
,
2
)
(iv)
(
6
,
4
)
(v)
(
7
,
3
)
Question
22
22.
Find the roots of the quadratic equation
(
15
x
2
−
22
x
+
8
)
=
0
(i)
(
4
7
,
2
)
(ii)
(
6
5
,
0
)
(iii)
(
4
7
,
2
3
)
(iv)
(
6
5
,
2
)
(v)
(
4
5
,
2
3
)
Question
23
23.
Find the roots of the quadratic equation
(
6
x
2
+
23
x
+
20
)
=
0
(i)
(
(
-2
3
)
,
(
-7
2
)
)
(ii)
(
(
-2
3
)
,
-3
)
(iii)
(
(
-4
3
)
,
(
-5
2
)
)
(iv)
(
(
-6
5
)
,
-3
)
(v)
(
(
-6
5
)
,
(
-5
2
)
)
Question
24
24.
Solve the quadratic equation
x
−
11
=
−
28
x
(i)
(
10
,
3
)
(ii)
(
8
,
3
)
(iii)
(
8
,
4
)
(iv)
(
10
,
1
)
(v)
(
7
,
4
)
Question
25
25.
Solve :
(
5
x
+
1
)
(
4
x
+
2
)
=
(
18
x
+
1
)
(
15
x
+
2
)
(i)
(
-5
,
0
)
(ii)
(
4
,
-1
)
(iii)
(
8
,
3
)
(iv)
(
5
,
0
)
(v)
(
2
,
-2
)
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (ii)
5) (iii)
6) (i)
7) (iv)
8) (i)
9) (i)
10) (v)
11) (i)
12) (ii)
13) (ii)
14) (iii)
15) (v)
16) (i)
17) (ii)
18) (iv)
19) (i)
20) (v)
21) (iv)
22) (v)
23) (iii)
24) (v)
25) (iv)
