Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 59 of Exercise 10A
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59
Solve each of the following quadratic equations:
Given:
taking LCM
using (a - b)2 = a2 + b2 - 2ab
8x2 - 8x + 4 = 17x2 - 17x cross multiplying
9x2 - 9x - 4 = 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 = - 9 c = - 4
= 9. - 4 = - 36
And either of their sum or difference = b
= - 9
Thus the two terms are - 12 and 3
Sum = - 12 + 3 = - 9
Product = - 12.3 = - 36
9x2 - 9x - 4 = 0
9x2 - 12x + 3x - 4 = 0
3x(3x - 4) + 1(3x - 4) = 0
(3x - 4) (3x + 1) = 0
(3x - 4) = 0 or (3x + 1) = 0
Hence the roots of equation are 
