Q. 164.2( 5 Votes )

Solve each of the following quadratic equations:

4x2 - 9x = 100

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 = 4; b = -9 ; c = -100


= 4. - 100 = - 400


And either of their sum or difference = b


= - 9


Thus the two terms are - 25 and 16


Difference = - 25 + 16 = - 9


Product = - 25.16 = - 400




x(4x-25) + 4(4x-25) = 0


(4x-25)(x + 4) = 0


(4x-25) = 0 or (x + 4) = 0


x = 25/4 or x = -4


Roots of equation are 25/4, - 4


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