Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 16 of Exercise 10A
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16
Solve each of the following quadratic equations:
4x2 - 9x = 100
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 = 4; b = -9 ; c = -100
= 4. - 100 = - 400
And either of their sum or difference = b
= - 9
Thus the two terms are - 25 and 16
Difference = - 25 + 16 = - 9
Product = - 25.16 = - 400
x(4x-25) + 4(4x-25) = 0
(4x-25)(x + 4) = 0
(4x-25) = 0 or (x + 4) = 0
x = 25/4 or x = -4
Roots of equation are 25/4, - 4
