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Popular >

The sum of the squares of three consecutive integers is 110. Find the numbers

Solución

The sum of the squares of three consecutive integers is 110. Find the numbers

Solución

The numbers : 5, 6, 7 or - 7, - 6, - 5

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x^{2} + (x + 1)^{2} + (x + 2)^{2} = 110

Resolver

x^{2} + (x + 1)^{2} + (x + 2)^{2} = 110 : x = 5, x = - 7

Sustituir

x = 5 : 6, 7

Sustituir

x = - 7 : - 6, - 5

The numbers : 5, 6, 7 or - 7, - 6, - 5

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