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Popular >

the sum of the square of two consecutive odd integers is equal to 290

Solution

the sum of the square of two consecutive odd integers is equal to 290

Solution

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

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

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

Solve

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

Plug in

x = 11 : 13

Plug in

x = - 13 : - 11

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

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