Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 57 of Exercise 10A
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57
Solve each of the following quadratic equations:
taking LCM
8x2 + 8 = 17x2 - 34x cross multiplying
- 9x2 + 34x + 8 = 0
9x2 - 34x - 8 = 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 = - 34 c = - 8
= 9. - 8 = - 72
And either of their sum or difference = b
= - 34
Thus the two terms are - 36 and 2
Difference = - 36 + 2 = - 34
Product = - 36.2 = - 72
9x2 - 34x - 8 = 0
9x2 - 36x + 2x - 8 = 0
9x(x - 4) + 2 (x - 4) = 0
(9x + 2)(x - 4) = 0
Hence the roots of equation are 
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