EduSahara™ Assignment
Name : Solution of a Quadratic Equation
Chapter : Quadratic Equations
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Find the discriminant of the quadratic equation
(
x
2
−
6
x
+
8
)
=
0
(i)
6
(ii)
3
(iii)
1
(iv)
5
(v)
4
Question
2
2.
Find the discriminant of the quadratic equation
(
−
20
x
2
)
=
0
(i)
-1
(ii)
0
(iii)
-2
(iv)
1
(v)
3
Question
3
3.
Find the discriminant of the quadratic equation
(
x
2
−
5
x
+
20
)
=
0
(i)
-56
(ii)
-52
(iii)
-54
(iv)
-58
(v)
-55
Question
4
4.
Find the discriminant of the quadratic equation
(
x
2
−
x
+
5
)
=
0
(i)
-20
(ii)
-19
(iii)
-18
(iv)
-21
(v)
-17
Question
5
5.
Find the discriminant of the quadratic equation
(
x
2
+
6
x
+
9
)
=
0
(i)
2
(ii)
1
(iii)
-1
(iv)
0
(v)
-2
Question
6
6.
Find the discriminant of the quadratic equation
(
x
2
+
6
x
+
9
)
=
0
(i)
3
(ii)
-1
(iii)
1
(iv)
0
(v)
-2
Question
7
7.
Find the roots of the quadratic equation
(
x
2
−
12
x
+
27
)
=
0
(i)
(
10
,
2
)
(ii)
(
11
,
1
)
(iii)
(
10
,
3
)
(iv)
(
9
,
3
)
(v)
(
11
,
2
)
Question
8
8.
Find the roots of the quadratic equation
(
x
2
+
9
x
+
14
)
=
0
(i)
(
0
,
-10
)
(ii)
(
-1
,
-7
)
(iii)
(
-1
,
-8
)
(iv)
(
-2
,
-7
)
(v)
(
0
,
-8
)
Question
9
9.
Find the roots of the quadratic equation
(
18
x
2
−
18
x
)
=
0
(i)
(
4
,
-1
)
(ii)
(
1
,
0
)
(iii)
(
2
,
0
)
(iv)
(
4
,
-3
)
(v)
(
2
,
-1
)
Question
10
10.
Find the roots of the quadratic equation
(
8
x
2
−
16
x
−
10
)
=
0
(i)
(
9
4
,
(
-1
2
)
)
(ii)
(
7
2
,
-1
)
(iii)
(
7
2
,
(
-3
2
)
)
(iv)
(
9
4
,
-1
)
(v)
(
5
2
,
(
-1
2
)
)
Question
11
11.
Solve :
6
x
2
−
a
b
x
−
a
2
b
2
= 0
(i)
a
b
3
,
3
a
b
2
(ii)
−
a
b
3
,
a
b
2
(iii)
−
a
b
5
,
a
b
4
(iv)
−
a
b
,
a
b
(v)
−
a
b
,
−
a
b
2
Question
12
12.
Solve :
15
x
2
b
2
−
13
a
x
b
+
2
a
2
= 0
(i)
3
a
5
b
,
4
a
3
b
(ii)
−
a
5
b
,
0
(iii)
a
5
b
,
2
a
3
b
(iv)
a
7
b
,
2
a
5
b
(v)
a
3
b
,
2
a
b
Question
13
13.
Solve :
6
x
2
−
a
x
−
2
a
2
= 0
(i)
6
a
9
,
−
a
2
(ii)
8
a
9
,
a
2
(iii)
6
a
11
,
−
a
4
(iv)
6
a
7
,
−
a
(v)
4
a
9
,
−
3
a
2
Question
14
14.
Solve :
9
x
2
−
b
2
= 0
(i)
b
5
,
−
b
5
(ii)
−
b
3
,
−
b
(iii)
b
,
b
3
(iv)
b
,
−
b
(v)
b
3
,
−
b
3
Question
15
15.
Solve :
32
x
2
a
2
−
12
x
a
+
1
= 0
(i)
1
5
a
,
1
10
a
(ii)
1
3
a
,
1
6
a
(iii)
2
8
a
,
1
8
a
(iv)
0
,
−
1
8
a
(v)
1
2
a
,
3
8
a
Question
16
16.
Solve :
14
x
2
b
2
−
9
x
b
+
1
= 0
(i)
3
8
b
,
1
9
b
(ii)
1
6
b
,
−
1
7
b
(iii)
3
6
b
,
1
7
b
(iv)
3
4
b
,
1
5
b
(v)
5
6
b
,
3
7
b
Question
17
17.
Solve :
35
x
2
−
44
a
2
b
x
+
12
a
4
b
2
= 0
(i)
2
a
2
b
3
,
2
a
2
b
7
(ii)
4
a
2
b
7
,
0
(iii)
6
a
2
b
5
,
2
a
2
b
3
(iv)
8
a
2
b
7
,
4
a
2
b
5
(v)
6
a
2
b
7
,
2
a
2
b
5
Question
18
18.
Solve :
14
x
2
a
4
b
2
+
17
x
a
2
b
+
5
= 0
(i)
−
1
4
a
2
b
,
−
5
9
a
2
b
(ii)
1
2
a
2
b
,
−
3
7
a
2
b
(iii)
−
3
2
a
2
b
,
−
1
a
2
b
(iv)
−
1
a
2
b
,
−
1
a
2
b
(v)
−
1
2
a
2
b
,
−
5
7
a
2
b
Question
19
19.
Solve :
15
x
2
b
2
−
7
a
2
x
b
−
4
a
4
= 0
(i)
4
a
2
3
b
,
−
a
2
b
(ii)
4
a
2
5
b
,
−
a
2
3
b
(iii)
6
a
2
5
b
,
a
2
3
b
(iv)
4
a
2
7
b
,
−
a
2
5
b
(v)
2
a
2
5
b
,
−
a
2
b
Question
20
20.
Solve :
21
x
2
a
4
−
8
b
x
a
2
−
5
b
2
= 0
(i)
−
5
b
9
a
2
,
3
b
7
a
2
(ii)
−
3
b
11
a
2
,
5
b
9
a
2
(iii)
−
b
9
a
2
,
b
a
2
(iv)
−
3
b
7
a
2
,
b
a
2
(v)
−
b
3
a
2
,
5
b
7
a
2
Question
21
21.
Find the roots of the quadratic equation
(
x
2
+
6
x
−
5
)
=
0
(i)
(
(
−
1
+
√
14
)
,
(
−
3
−
14
)
)
(ii)
(
(
−
3
+
√
14
)
,
(
−
3
−
√
14
)
)
(iii)
(
(
−
3
+
4
√
14
)
,
(
−
3
−
14
)
)
(iv)
(
(
−
3
+
4
√
14
)
,
(
−
3
−
√
14
)
)
(v)
(
(
−
1
+
√
14
)
,
(
−
6
−
√
14
)
)
Question
22
22.
If
8
is the root of
(
x
2
+
k
x
−
48
)
=
0
, find
k
and the other root
(i)
k
=
-5
, and the other root =
-9
(ii)
k
=
-3
, and the other root =
-7
(iii)
k
=
-1
, and the other root =
-5
(iv)
k
=
-2
, and the other root =
-6
(v)
k
=
0
, and the other root =
-3
Question
23
23.
Solve :
2
√
2
x
2
+
10
x
−
6
√
2
=
0
(i)
√
8
2
,
(
−
6
)
√
2
(ii)
√
2
2
,
(
−
6
)
√
8
(iii)
√
2
2
,
(
−
6
)
√
2
(iv)
√
8
2
,
(
−
6
√
4
)
√
2
(v)
√
2
2
√
4
,
(
−
6
)
√
8
Question
24
24.
Solve :
−
20
x
2
−
√
10
x
+
10
=
0
(i)
√
40
5
,
√
40
(
−
4
)
(ii)
√
40
5
,
√
10
(
−
4
)
(iii)
√
10
5
,
√
10
(
−
4
√
4
)
(iv)
√
10
5
,
√
10
(
−
4
)
(v)
√
10
5
√
4
,
√
10
(
−
4
√
4
)
Question
25
25.
Solve :
8
x
2
+
18
√
2
x
+
8
=
0
(i)
(
−
8
)
√
8
,
(
−
1
)
√
32
(ii)
(
−
8
)
√
8
,
(
−
1
)
√
8
(iii)
(
−
8
)
√
32
,
(
−
1
)
√
32
(iv)
(
−
8
√
4
)
√
8
,
(
−
√
4
)
√
8
(v)
(
−
8
√
4
)
√
8
,
(
−
1
)
√
8
Question
26
26.
Solve :
x
2
+
16
x
+
57
=
0
(i)
(
−
8
+
√
7
)
,
(
−
8
−
√
7
)
(ii)
(
−
8
√
4
+
√
7
)
,
(
−
8
√
4
−
√
7
)
(iii)
(
−
8
+
√
14
)
,
(
−
8
−
√
14
)
(iv)
(
−
8
+
√
21
)
,
(
−
8
−
√
21
)
(v)
(
−
8
√
5
+
√
7
)
,
(
−
8
√
5
−
√
7
)
Question
27
27.
Find the roots of the quadratic equation correct to two decimal places
(
28
x
2
−
13
x
−
5
)
=
0
(i)
7.71 , 6.75
(ii)
0.71 , -0.25
(iii)
8.71 , 7.75
(iv)
2.71 , 1.75
(v)
1.71 , 0.75
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (ii)
5) (iv)
6) (iv)
7) (iv)
8) (iv)
9) (ii)
10) (v)
11) (ii)
12) (iii)
13) (i)
14) (v)
15) (iii)
16) (iii)
17) (v)
18) (v)
19) (ii)
20) (v)
21) (ii)
22) (iv)
23) (iii)
24) (iv)
25) (ii)
26) (i)
27) (ii)
