Q. 84.2( 5 Votes )

Solve each of the following quadratic equations:

2x2 + x - 6 = 0

Answer :


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




2x(x + 2)-3(x + 2) = 0


(2x-3)(x + 2) = 0


(2x-3) = 0 or (x + 2) = 0


x = 3/2, x = -2


Roots of equation are 3/2, - 2


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