# The roots of the quadratic equation 2x2 - x - 6 = 0 areA. - 2, 3/2B. 2, –3/2C. - 2, –3/2D. 2, 3/2

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

Difference = - 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 x = - 3/2

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