Q. 194.0( 4 Votes )

Solve each of the following quadratic equations:

48x2 - 13x - 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 = 48; b = -13 ;c = -1


= 48× - 1 = - 48


And either of their sum or difference = b


= - 13


Thus the two terms are - 16 and 3


Difference = - 16 + 3 = - 13


Product = - 16.3 = - 48




16x(3x-1) + 1(3x-1) = 0


(16x + 1)(3x-1) = 0


(16x + 1) = 0 or (3x-1) = 0


x = (-1)/6 or x = 1/3


Roots of equation are


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