Q. 155.0( 4 Votes )

Solve each of the following quadratic equations:

3x2 - 2x - 1 = 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 = 3; b = -2; c = -1


= 3. - 1 = - 3


And either of their sum or difference = b


= - 2


Thus the two terms are - 3 and 1


Difference = - 3 + 1 = - 2


Product = - 3.1 = - 3




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


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


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


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


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


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