EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadratic Equations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the quadratic equation, the sum of whose roots is
2
and product is
-35
(i)
(
x
2
−
5
x
−
35
)
=
0
(ii)
(
x
2
−
2
x
−
35
)
=
0
(iii)
(
2
x
2
−
2
x
−
35
)
=
0
(iv)
(
x
2
+
x
−
35
)
=
0
(v)
(
−
2
x
−
35
)
=
0
Question
2
2.
Solve :
10
x
2
+
3
a
b
2
x
−
a
2
b
4
= 0
(i)
a
b
2
5
,
−
a
b
2
2
(ii)
a
b
2
7
,
−
a
b
2
4
(iii)
a
b
2
3
,
−
a
b
2
(iv)
−
a
b
2
5
,
−
3
a
b
2
2
(v)
3
a
b
2
5
,
a
b
2
2
Question
3
3.
The sum of the roots of the quadratic equation
(
x
2
+
5
x
−
14
)
=
0
is
(i)
-2
(ii)
-5
(iii)
-8
(iv)
-6
(v)
-4
Question
4
4.
Solve :
14
x
2
a
2
+
5
b
2
x
a
−
6
b
4
= 0
(i)
5
b
2
6
a
,
−
4
b
2
7
a
(ii)
3
b
2
8
a
,
−
2
b
2
3
a
(iii)
b
2
6
a
,
−
8
b
2
7
a
(iv)
3
b
2
4
a
,
−
6
b
2
5
a
(v)
3
b
2
6
a
,
−
6
b
2
7
a
Question
5
5.
Find the discriminant of the quadratic equation
(
25
x
2
+
40
x
+
16
)
=
0
(i)
0
(ii)
-3
(iii)
2
(iv)
1
(v)
-1
Question
6
6.
Solve :
6
x
2
−
a
b
x
−
2
a
2
b
2
= 0
(i)
−
3
a
b
2
,
0
(ii)
a
b
2
,
4
a
b
3
(iii)
−
a
b
4
,
2
a
b
5
(iv)
−
a
b
,
2
a
b
(v)
−
a
b
2
,
2
a
b
3
Question
7
7.
Solve :
−
5
(
−
x
)
+
1
(
x
−
5
)
=
3
(i)
5
√
5
,
(
−
2
)
(ii)
5
√
4
,
2
(iii)
5
√
2
,
1
(iv)
5
√
3
,
(
−
1
)
(v)
5
,
0
Question
8
8.
Solve :
48
x
2
−
26
a
2
b
x
+
3
a
4
b
2
= 0
(i)
3
a
2
b
10
,
a
2
b
8
(ii)
a
2
b
8
,
−
a
2
b
6
(iii)
5
a
2
b
8
,
a
2
b
2
(iv)
3
a
2
b
8
,
a
2
b
6
(v)
a
2
b
2
,
a
2
b
4
Question
9
9.
Find the quadratic equation with roots
(
-5
,
-5
)
(i)
(
x
2
+
8
x
+
15
)
=
0
(ii)
(
x
2
+
10
x
+
25
)
=
0
(iii)
(
x
2
+
9
x
+
20
)
=
0
(iv)
(
x
2
+
13
x
+
40
)
=
0
(v)
(
x
2
+
11
x
+
30
)
=
0
Question
10
10.
Find the discriminant of the quadratic equation
(
−
3
x
2
+
17
x
−
43
)
=
0
(i)
-230
(ii)
-226
(iii)
-227
(iv)
-228
(v)
-225
Question
11
11.
Solve :
(
6
x
+
1
)
(
3
x
+
1
)
+
(
2
x
+
1
)
(
x
+
1
)
=
74
21
(i)
(
5
,
(
-2
5
)
)
(ii)
(
2
,
(
-8
15
)
)
(iii)
(
3
,
(
-8
17
)
)
(iv)
(
1
,
(
-8
13
)
)
(v)
(
0
,
(
-2
3
)
)
Question
12
12.
Solve :
9
x
2
−
3
x
+
6
x
b
−
2
b
= 0
(i)
1
,
−
b
(ii)
−
1
3
,
−
b
(iii)
1
,
−
b
3
(iv)
1
5
,
−
b
2
(v)
1
3
,
−
2
b
3
Question
13
13.
The product of the roots of the quadratic equation
(
−
15
x
2
−
11
x
+
56
)
=
0
is
(i)
(
-58
15
)
(ii)
(
-62
17
)
(iii)
(
-50
13
)
(iv)
(
-18
5
)
(v)
(
-56
15
)
Question
14
14.
Solve :
x
2
+
6
x
+
3
=
0
(i)
(
−
3
√
4
+
√
6
)
,
(
−
3
√
4
−
√
6
)
(ii)
(
−
3
√
5
+
√
6
)
,
(
−
3
√
5
−
√
6
)
(iii)
(
−
3
+
√
12
)
,
(
−
3
−
√
12
)
(iv)
(
−
3
+
√
6
)
,
(
−
3
−
√
6
)
(v)
(
−
3
+
√
18
)
,
(
−
3
−
√
18
)
Question
15
15.
Solve :
(
x
4
−
13
x
2
+
42
)
=
0
(i)
√
10
,
(
−
√
9
)
,
√
9
,
(
−
√
8
)
(ii)
7
,
(
−
7
)
,
6
,
(
−
6
)
(iii)
√
5
,
(
−
√
5
)
,
√
3
,
(
−
√
3
)
(iv)
√
7
,
(
−
√
7
)
,
√
6
,
(
−
√
6
)
(v)
4
√
7
,
(
−
4
√
7
)
,
4
√
6
,
(
−
4
√
6
)
Question
16
16.
Solve :
−
4
√
3
x
2
−
8
x
+
4
√
3
=
0
(i)
√
12
(
−
2
√
4
)
,
2
√
48
(ii)
√
12
(
−
2
)
,
2
√
48
(iii)
√
48
(
−
2
)
,
2
√
12
(iv)
√
48
(
−
2
)
,
2
√
4
√
12
(v)
√
12
(
−
2
)
,
2
√
12
Question
17
17.
Find the discriminant of the quadratic equation
(
4
x
2
+
15
x
−
25
)
=
0
(i)
622
(ii)
628
(iii)
624
(iv)
626
(v)
625
Question
18
18.
Solve :
14
x
2
+
7
a
x
+
8
x
+
4
a
= 0
(i)
−
a
4
,
−
2
7
(ii)
−
2
a
3
,
−
4
5
(iii)
−
3
a
4
,
−
6
7
(iv)
−
2
a
5
,
−
4
9
(v)
−
a
2
,
−
4
7
Question
19
19.
Solve :
35
x
2
b
4
−
8
a
x
b
2
−
16
a
2
= 0
(i)
6
a
5
b
2
,
−
2
a
7
b
2
(ii)
4
a
5
b
2
,
−
4
a
7
b
2
(iii)
4
a
7
b
2
,
−
4
a
9
b
2
(iv)
4
a
3
b
2
,
−
4
a
5
b
2
(v)
2
a
5
b
2
,
−
6
a
7
b
2
Question
20
20.
Solve :
10
x
2
+
2
√
10
x
−
15
=
0
(i)
3
√
4
√
10
,
(
−
5
)
√
10
(ii)
3
√
40
,
(
−
5
)
√
40
(iii)
3
√
10
,
(
−
5
)
√
40
(iv)
3
√
4
√
10
,
(
−
5
√
4
)
√
10
(v)
3
√
10
,
(
−
5
)
√
10
Question
21
21.
Find the roots of the quadratic equation
(
56
x
2
+
3
x
−
9
)
=
0
(i)
(
3
10
,
(
-3
5
)
)
(ii)
(
5
8
,
(
-5
7
)
)
(iii)
(
3
8
,
(
-3
7
)
)
(iv)
(
5
8
,
(
-3
5
)
)
(v)
(
3
10
,
(
-3
7
)
)
Question
22
22.
Find the discriminant of the quadratic equation
(
x
2
+
4
x
+
3
)
=
0
(i)
3
(ii)
1
(iii)
6
(iv)
4
(v)
5
Question
23
23.
Solve :
21
x
2
+
26
a
x
+
8
a
2
= 0
(i)
−
4
a
7
,
−
2
a
3
(ii)
−
6
a
7
,
−
8
a
9
(iii)
−
4
a
9
,
−
6
a
11
(iv)
−
4
a
5
,
−
6
a
7
(v)
−
2
a
7
,
−
4
a
9
Question
24
24.
The sum of the roots of the quadratic equation
(
x
2
−
6
x
+
9
)
=
0
is
(i)
5
(ii)
9
(iii)
6
(iv)
7
(v)
4
Question
25
25.
Find the roots of the quadratic equation correct to two decimal places
(
−
32
x
2
+
32
x
−
8
)
=
0
(i)
7.50 , 7.50
(ii)
2.50 , 2.50
(iii)
1.50 , 1.50
(iv)
8.50 , 8.50
(v)
0.50 , 0.50
Assignment Key
1) (ii)
2) (i)
3) (ii)
4) (v)
5) (i)
6) (v)
7) (v)
8) (iv)
9) (ii)
10) (iii)
11) (ii)
12) (v)
13) (v)
14) (iv)
15) (iv)
16) (v)
17) (v)
18) (v)
19) (ii)
20) (v)
21) (iii)
22) (iv)
23) (i)
24) (iii)
25) (v)
