Let the two successive positive integers be $$(x)$$ & $$(x + 1)$$ Acc to ques, => $$(x) imes (x + 1) = 8556$$ => $$x^2 + x - 8556 = 0$$ => $$x = frac{-1 pm sqrt{(1^2) - (4 imes 1 imes -8556)}}{2}$$ => $$x = frac{-1 pm sqrt{34225}}{2}$$ => $$x = frac{-1 pm 185}{2}$$ => $$x = 92 , -93$$ Since the numbers are positive, => $$x = 92$$ $$ herefore$$ Smaller number = 92