Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 9 of Exercise 10A
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9
Solve each of the following quadratic equations:
x2 + 6x + 5 = 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 = 6, c = 5
= 1.5 = 5
And either of their sum or difference = b
= 6
Thus the two terms are 1 and 5
Sum = 5 + 1 = 6
Product = 5.1 = 5
x(x + 1) + 5(x + 1) = 0
(x + 1)(x + 5) = 0
(x + 1) = 0 or (x + 5) = 0
x = -1, x = -5
Roots of equation are - 1, - 5
