Q. 115.0( 3 Votes )

Solve each of the following quadratic equations:

x2 + 12x + 35 = 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 = 1; b = 12; c = 35


= 1.35 = 35


And either of their sum or difference = b


= 12


Thus the two terms are 7 and 5


Sum = 7 + 5 = 12


Product = 7.5 = 35




x(x + 7) + 5(x + 7) = 0


(x + 5)(x + 7) = 0


(x + 5) = 0 or (x + 7) = 0


x = -5 or x = -7


Roots of equation are - 5, - 7


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