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 = 2; b = - 5; c = 2


= 2.2 = 4


And either of their sum or difference = b


= - 5


Thus the two terms are - 4 and - 1


Difference = - 4 - 1 = - 5


Product = - 4. - 1 = 4




2x(x-2)-1(x-2) = 0


(2x-1)(x-2) = 0


(2x-1) = 0 or (x-2) = 0



Hence the roots of equation are


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