Answer :

Given: taking LCM




30x2 + 30x + 15 = 34x2 + 34x cross multiplying


4x2 + 4x - 15 = 0


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 = 4 c = - 15


= 4. - 15 = - 60


And either of their sum or difference = b


= 4


Thus the two terms are 10 and - 6


Difference = 10 - 6 = 4


Product = 10. - 6 = - 60


4x2 + 4x - 15 = 0


4x2 + 10x - 6x - 15 = 0


2x(2x + 5) - 3(2x + 5) = 0


(2x + 5) (2x - 3) = 0


(2x + 5) = 0 or (2x - 3) = 0



Hence the roots of equation are


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