Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 35 of Exercise 10A
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35
Solve each of the following quadratic equations:
100x2 - 20x + 1 = 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 = 100 ;b = - 20 ;c = 1
= 100.1 = 100
And either of their sum or difference = b
= - 20
Thus the two terms are - 10 and - 10
Sum = - 10 - 10 = - 20
Product = - 10. - 10 = 100
10x(10x-1)-1(10x-1) = 0
(10x-1)(10x-1) = 0
(10x-1) = 0 or (10x-1) = 0
Roots of equation are repeated 
