 ## Book: RS Aggarwal - Mathematics

#### Subject: Maths - Class 10th

##### Q. No. 10 of Exercise 10A

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

10
##### Solve each of the following quadratic equations:9x2 - 3x - 2 = 0 Using the splitting middle term - the middle term of the general equation is divided in two such values that:

Product = a.c

For the given equation a = 9; b = -3; c = -2

= 9. - 2 = - 18

And either of their sum or difference = b

= - 3

Thus the two terms are - 6 and 3

Sum = - 6 + 3 = - 3

Product = - 6.3 = - 18  3x(3x-2) + 1(3x-2) = 0

(3x + 1)(3x-2) = 0

(3x + 1) = 0 or (3x-2) = 0

x = (-1)/3 or x = 2/3

Roots of equation are (-1)/3, 2/3

1
1
1
1
1
1
1
1
1
1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73

## Students Store ##### Stationery Store ##### Lunch Boxes ##### Hair Accessories ##### Sippers & Bottles 