Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 11 of Exercise 10A
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11
Solve each of the following quadratic equations:
x2 + 12x + 35 = 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 = 1; b = 12; c = 35
= 1.35 = 35
And either of their sum or difference = b
= 12
Thus the two terms are 7 and 5
Sum = 7 + 5 = 12
Product = 7.5 = 35
x(x + 7) + 5(x + 7) = 0
(x + 5)(x + 7) = 0
(x + 5) = 0 or (x + 7) = 0
x = -5 or x = -7
Roots of equation are - 5, - 7
