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The sum of the squares of two positive consecutive even integers is 1060. What are the two integers?

Solution

The sum of the squares of two positive consecutive even integers is 1060. What are the two integers?

Solution

The numbers : 22, 24 or - 24, - 22

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 1060

Solve

x^{2} + (x + 2)^{2} = 1060 : x = 22, x = - 24

Plug in

x = 22 : 24

Plug in

x = - 24 : - 22

The numbers : 22, 24 or - 24, - 22

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