Q. 104.0( 7 Votes )

Solve each of the following quadratic equations:

9x2 - 3x - 2 = 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 = 9; b = -3; c = -2


= 9. - 2 = - 18


And either of their sum or difference = b


= - 3


Thus the two terms are - 6 and 3


Sum = - 6 + 3 = - 3


Product = - 6.3 = - 18




3x(3x-2) + 1(3x-2) = 0


(3x + 1)(3x-2) = 0


(3x + 1) = 0 or (3x-2) = 0


x = (-1)/3 or x = 2/3


Roots of equation are (-1)/3, 2/3


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