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The difference of the squares of two consecutive odd integers is 24. Find the integers.

Solución

The difference of the squares of two consecutive odd integers is 24. Find the integers.

Solución

The numbers : - 7, - 5

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} - (x + 2)^{2} = 24

Resolver

x^{2} - (x + 2)^{2} = 24 : x = - 7

x + 2 = - 7 + 2 = - 5

The numbers : - 7, - 5

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