EduSahara™ Assignment
Name : Solving some complex Quadratic Equations - 2
Chapter : Quadratic Equations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Solve :
(
x
(
x
+
2
)
)
2
−
10
(
x
(
x
+
2
)
)
+
25
= 0
(i)
(
-7
2
)
,
(
-7
2
)
(ii)
(
-5
2
)
,
(
-5
2
)
(iii)
-3
,
-3
(iv)
(
-3
2
)
,
(
-3
2
)
(v)
(
-9
4
)
,
(
-9
4
)
Question
2
2.
Solve :
√
(
4
x
+
9
)
=
(
x
−
7
)
(i)
(
9
√
5
+
√
41
)
,
(
9
√
5
−
√
41
)
(ii)
(
9
+
√
123
)
,
(
9
−
√
123
)
(iii)
(
9
√
4
+
√
41
)
,
(
9
√
4
−
√
41
)
(iv)
(
9
+
√
41
)
,
(
9
−
√
41
)
(v)
(
9
+
√
82
)
,
(
9
−
√
82
)
Question
3
3.
Solve :
√
(
5
x
2
−
15
x
−
20
)
=
(
x
−
3
)
(i)
(
9
8
√
5
−
1
8
√
545
)
,
(
9
8
√
5
+
1
8
√
545
)
(ii)
(
9
8
√
4
−
1
8
√
545
)
,
(
9
8
√
4
+
1
8
√
545
)
(iii)
(
9
8
−
1
8
√
1090
)
,
(
9
8
+
1
8
√
1090
)
(iv)
(
9
8
−
1
8
√
1635
)
,
(
9
8
+
1
8
√
1635
)
(v)
(
9
8
−
1
8
√
545
)
,
(
9
8
+
1
8
√
545
)
Question
4
4.
Solve :
3
(
−
x
)
−
3
(
−
x
−
1
)
=
5
(i)
(
−
√
4
)
,
2
(ii)
(
−
√
3
)
,
(
−
1
)
(iii)
(
−
√
5
)
,
(
−
3
)
(iv)
(
−
1
)
,
0
(v)
(
−
√
2
)
,
1
Question
5
5.
Solve :
−
4
(
−
x
−
2
)
−
5
(
x
−
3
)
=
−
5
x
(i)
(
27
8
√
5
−
1
8
√
1209
)
,
(
27
8
√
5
+
1
8
√
1209
)
(ii)
(
27
8
−
1
8
√
1209
)
,
(
27
8
+
1
8
√
1209
)
(iii)
(
27
8
−
1
8
√
2418
)
,
(
27
8
+
1
8
√
2418
)
(iv)
(
27
8
−
1
8
√
3627
)
,
(
27
8
+
1
8
√
3627
)
(v)
(
27
8
√
4
−
1
8
√
1209
)
,
(
27
8
√
4
+
1
8
√
1209
)
Question
6
6.
Solve :
2
√
11
x
2
+
3
x
−
7
√
11
=
0
(i)
√
44
2
,
(
−
7
)
√
11
(ii)
√
11
2
√
4
,
(
−
7
)
√
44
(iii)
√
11
2
,
(
−
7
)
√
44
(iv)
√
44
2
,
(
−
7
√
4
)
√
11
(v)
√
11
2
,
(
−
7
)
√
11
Question
7
7.
Solve :
30
x
2
−
11
√
2
x
+
2
=
0
(i)
√
2
6
,
√
2
5
√
4
(ii)
√
8
6
,
√
8
5
(iii)
√
2
6
,
√
2
5
(iv)
√
8
6
,
√
2
5
(v)
√
2
6
√
4
,
√
2
5
√
4
Question
8
8.
Solve :
6
x
2
+
13
√
6
x
+
40
=
0
(i)
(
−
5
)
√
24
,
(
−
8
)
√
24
(ii)
(
−
5
√
4
)
√
6
,
(
−
8
)
√
6
(iii)
(
−
5
)
√
6
,
(
−
8
)
√
24
(iv)
(
−
5
√
4
)
√
6
,
(
−
8
√
4
)
√
6
(v)
(
−
5
)
√
6
,
(
−
8
)
√
6
Question
9
9.
Solve :
x
2
−
4
x
−
1
=
0
(i)
(
2
+
√
10
)
,
(
2
−
√
10
)
(ii)
(
2
+
√
5
)
,
(
2
−
√
5
)
(iii)
(
2
+
√
15
)
,
(
2
−
√
15
)
(iv)
(
2
√
5
+
√
5
)
,
(
2
√
5
−
√
5
)
(v)
(
2
√
4
+
√
5
)
,
(
2
√
4
−
√
5
)
Question
10
10.
Find the roots of the quadratic equation correct to two decimal places
(
−
8
x
2
−
14
x
−
6
)
=
0
(i)
0.00 , 0.25
(ii)
6.00 , 6.25
(iii)
-1.00 , -0.75
(iv)
1.00 , 1.25
(v)
7.00 , 7.25
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (iv)
5) (ii)
6) (v)
7) (iii)
8) (v)
9) (ii)
10) (iii)
