Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 10 of Exercise 10A
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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
