Q. 125.0( 4 Votes )

Solve each of the following quadratic equations:

x2 = 18x – 77

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 = -18; c = 77


= 1.77 = 77


And either of their sum or difference = b


= - 18


Thus the two terms are - 7 and - 11


Sum = - 7 - 11 = - 18


Product = - 7. - 11 = 77




x(x-7)-11(x-7) = 0


(x-7)(x-11) = 0


(x-7) = 0 or (x-11) = 0


x = 7 or x = 11


Roots of equation are 7, 11


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