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Popular >

The sum of the squares of two consecutive odd numbers is 290. Find the numbers.

Solución

The sum of the squares of two consecutive odd numbers is 290. Find the numbers.

Solución

The numbers : 11, 13 or - 13, - 11

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 290

Resolver

x^{2} + (x + 2)^{2} = 290 : x = 11, x = - 13

Sustituir

x = 11 : 13

Sustituir

x = - 13 : - 11

The numbers : 11, 13 or - 13, - 11

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