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 = 100 ;b = - 20 ;c = 1


= 100.1 = 100


And either of their sum or difference = b


= - 20


Thus the two terms are - 10 and - 10


Sum = - 10 - 10 = - 20


Product = - 10. - 10 = 100




10x(10x-1)-1(10x-1) = 0


(10x-1)(10x-1) = 0


(10x-1) = 0 or (10x-1) = 0



Roots of equation are repeated


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