Q. 365.0( 1 Vote )

Find the roots of the quadratic equation 2x2 - x - 6 = 0.

Answer :

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 =


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