Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 38 of Exercise 10A
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38
Solve each of the following quadratic equations:
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 = 2; b = - 5; c = 2
= 2.2 = 4
And either of their sum or difference = b
= - 5
Thus the two terms are - 4 and - 1
Difference = - 4 - 1 = - 5
Product = - 4. - 1 = 4
2x(x-2)-1(x-2) = 0
(2x-1)(x-2) = 0
(2x-1) = 0 or (x-2) = 0
Hence the roots of equation are
