Book: RS Aggarwal - Mathematics
Chapter: 10. Quadratic Equations
Subject: Maths - Class 10th
Q. No. 36 of Exercise 10F
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36
Find the roots of the quadratic equation 2x2 - x - 6 = 0.
Given: 2x2 - x - 6 = 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 = 2 b = - 1 c = - 6
= 2. - 6 = - 12
And either of their sum or difference = b
= - 1
Thus the two terms are - 4 and 3
Sum = - 4 + 3 = - 1
Product = - 4.3 = - 12
2x2 - 4x + 3x - 6 = 0
2x(x - 2) + 3(x - 2) = 0
(x - 2) (2x + 3) = 0
x = 2 or x = - 3/2
Hence the roots of the given equation x = 2 or x = 
Chapter Exercises
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46
Solve: 
