SOLUTION: Given a number Y,you are asked to show if there are two consecutive numbers X and X+1 such that their product equal to Y .

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Question 1088969: Given a number Y,you are asked to show if there are two consecutive numbers X and X+1 such that their product equal to Y .
Answer by ikleyn(52776) About Me  (Show Source):
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Answer. There are two consecutive numbers X and X+1 such that their product equal to Y   IF AND ONLY IF
              the quadratic equation  X%2A%28X%2B1%29 = Y  has a solution in integer numbers.