EduSahara™ Assignment
Name : Quadratic Equations
Chapter : Quadratic Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the roots of the quadratic equation
(
x
2
−
8
x
+
12
)
=
0
(i)
(
8
,
1
)
(ii)
(
7
,
1
)
(iii)
(
6
,
2
)
(iv)
(
7
,
2
)
(v)
(
8
,
0
)
Question
2
2.
Find the roots of the quadratic equation
(
x
2
+
9
x
+
8
)
=
0
(i)
(
1
,
-9
)
(ii)
(
0
,
-8
)
(iii)
(
0
,
-9
)
(iv)
(
1
,
-10
)
(v)
(
-1
,
-8
)
Question
3
3.
Find the roots of the quadratic equation
(
27
x
2
+
42
x
+
8
)
=
0
(i)
(
(
-2
11
)
,
-2
)
(ii)
(
(
-2
9
)
,
(
-4
3
)
)
(iii)
(
0
,
-2
)
(iv)
(
(
-2
11
)
,
(
-4
3
)
)
Question
4
4.
Find the discriminant of the quadratic equation
(
x
2
−
9
x
+
20
)
=
0
(i)
2
(ii)
-2
(iii)
3
(iv)
0
(v)
1
Question
5
5.
Solve :
(
17
x
+
1
)
(
10
x
+
1
)
=
(
32
x
+
1
)
(
19
x
+
1
)
(i)
(
2
,
0
)
(ii)
(
4
,
3
)
(iii)
(
-2
,
0
)
(iv)
(
1
,
-1
)
(v)
(
0
,
-3
)
Question
6
6.
Solve :
(
x
−
8
)
(
x
−
11
)
+
(
x
−
2
)
(
x
−
10
)
=
37
6
(i)
(
268
25
,
15
)
(ii)
(
286
27
,
14
)
(iii)
(
246
23
,
12
)
(iv)
(
266
25
,
13
)
(v)
(
264
25
,
11
)
Question
7
7.
Solve :
42
x
2
+
31
a
b
x
+
4
a
2
b
2
= 0
(i)
−
a
b
4
,
−
4
a
b
5
(ii)
−
a
b
8
,
−
4
a
b
9
(iii)
a
b
6
,
−
2
a
b
7
(iv)
−
a
b
2
,
−
6
a
b
7
(v)
−
a
b
6
,
−
4
a
b
7
Question
8
8.
Find the roots of the quadratic equation
(
x
2
−
11
x
+
28
)
=
0
(i)
(
8
,
3
)
(ii)
(
9
,
3
)
(iii)
(
9
,
1
)
(iv)
(
7
,
4
)
(v)
(
8
,
4
)
Question
9
9.
Find the roots of the quadratic equation
(
x
2
+
8
x
+
16
)
=
0
(i)
(
-3
,
-4
)
(ii)
(
-2
,
-5
)
(iii)
(
-2
,
-7
)
(iv)
(
-4
,
-4
)
(v)
(
-3
,
-5
)
Question
10
10.
Find the roots of the quadratic equation
(
45
x
2
−
42
x
+
9
)
=
0
(i)
(
1
,
1
)
(ii)
(
1
,
(
-1
3
)
)
(iii)
(
3
5
,
1
3
)
(iv)
(
3
7
,
1
)
(v)
(
3
7
,
1
3
)
Question
11
11.
Find the discriminant of the quadratic equation
(
x
2
+
5
x
+
6
)
=
0
(i)
-2
(ii)
2
(iii)
1
(iv)
0
(v)
3
Question
12
12.
Solve :
(
18
x
+
1
)
(
5
x
+
1
)
=
(
15
x
+
2
)
(
4
x
+
2
)
(i)
(
-1
,
4
)
(ii)
(
0
,
5
)
(iii)
(
3
,
8
)
(iv)
(
-3
,
3
)
(v)
(
0
,
-5
)
Question
13
13.
Solve :
(
x
−
6
)
(
x
−
11
)
+
(
x
−
10
)
(
x
−
2
)
=
83
22
(i)
(
(
-24
13
)
,
11
)
(ii)
(
(
-20
13
)
,
15
)
(iii)
(
(
-8
5
)
,
14
)
(iv)
(
(
-20
11
)
,
12
)
(v)
(
(
-22
13
)
,
13
)
Question
14
14.
Find the roots of the quadratic equation
(
12
x
2
−
28
x
−
5
)
=
0
(i)
(
5
2
,
(
-1
6
)
)
(ii)
(
7
2
,
(
-1
2
)
)
(iii)
(
7
2
,
(
-1
4
)
)
(iv)
(
9
4
,
(
-1
4
)
)
(v)
(
9
4
,
(
-1
6
)
)
Question
15
15.
Solve the quadratic equation
x
+
2
=
15
x
(i)
(
5
,
-8
)
(ii)
(
4
,
-5
)
(iii)
(
3
,
-5
)
(iv)
(
5
,
-6
)
(v)
(
4
,
-6
)
Question
16
16.
Find the roots of the quadratic equation
(
20
x
2
−
5
x
−
15
)
=
0
(i)
(
3
,
(
-5
4
)
)
(ii)
(
3
,
(
-3
2
)
)
(iii)
(
2
,
(
-3
2
)
)
(iv)
(
1
,
(
-3
4
)
)
(v)
(
2
,
(
-3
4
)
)
Question
17
17.
Solve the quadratic equation
x
+
6
=
27
x
(i)
(
4
,
-10
)
(ii)
(
5
,
-12
)
(iii)
(
3
,
-9
)
(iv)
(
5
,
-10
)
(v)
(
4
,
-9
)
Assignment Key
1) (iii)
2) (v)
3) (ii)
4) (v)
5) (i)
6) (iv)
7) (v)
8) (iv)
9) (iv)
10) (iii)
11) (iii)
12) (ii)
13) (v)
14) (i)
15) (iii)
16) (iv)
17) (iii)
