Problema Solution

The sum of the squares of two consecutive odd integers is 1570 find the integers.

Answer provided by our tutors

the two consecutive odd integers can be written as:


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


the sum of the squares of two consecutive odd integers is 1570


(2x - 1)^2 + (2x + 1)^2 = 1570


by solving we find


x = 14


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2*14 - 1 = 27


2*14 + 1 = 29


the two consecutive odd integers are 27 and 29.