Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 36 of Exercise 10A
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36
Solve each of the following quadratic equations:
(taking LCM)
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 = 16; b = - 8 ;c = 1
= 16.1 = 16
And either of their sum or difference = b
= - 8
Thus the two terms are - 4 and - 4
Sum = - 4 - 4 = - 8
Product = - 4. - 4 = 16
4x(4x-1)-1(4x-1) = 0
(4x-1)(4x-1) = 0
(4x-1) = 0 or (4x-1) = 0
The equation has repeated roots 
36
