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Popular >

the sum of the square of two consecutive natural numbers is 85.determine the numbers

Solución

the sum of the square of two consecutive natural numbers is 85.determine the numbers

Solución

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

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 85

Resolver

x^{2} + (x + 1)^{2} = 85 : x = 6, x = - 7

Sustituir

x = 6 : 7

Sustituir

x = - 7 : - 6

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

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