Q. 314.0( 4 Votes )

The roots of the quadratic equation 2x2 - x - 6 = 0 are
A. - 2, 3/2

B. 2, –3/2

C. - 2, –3/2

D. 2, 3/2

Answer :

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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