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Popular >

The sum of the squares of two positive consecutive even integers is 1060. What are the two integers?

Solución

The sum of the squares of two positive consecutive even integers is 1060. What are the two integers?

Solución

The numbers : 22, 24 or - 24, - 22

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 1060

Resolver

x^{2} + (x + 2)^{2} = 1060 : x = 22, x = - 24

Sustituir

x = 22 : 24

Sustituir

x = - 24 : - 22

The numbers : 22, 24 or - 24, - 22

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