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Popolare >

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

Soluzione

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

Soluzione

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

Fasi della soluzione

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

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

Risolvi

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

Inserire in

x = 11 : 13

Inserire in

x = - 13 : - 11

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

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