Problema Solution

The product of two consecutive odd integers is 63. Find the two integers. Answer in the form of paired points with the lowest of the two integers first.

Answer provided by our tutors

let the two consecutive odd integers be:


2x - 1, 2x + 1, where x is integer


The product of two consecutive odd integers is 63:


(2x - 1)(2x + 1) = 63


by solving we find:


x1 = 4


x2 = -4


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2*4 - 1 = 7


2*4 + 1 = 9


one pair is (7, 9)


2*(-4) - 1 = -9


2*(-4) + 1 = -7


the second pair is (-9, -7)


there are two solutions: (7, 9) and (-9, -7).