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The sum of the squares of 2 consecutive even integers is 20

Solution

The sum of the squares of 2 consecutive even integers is 20

Solution

The numbers : 2, 4 or - 4, - 2

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 20

Solve

x^{2} + (x + 2)^{2} = 20 : x = 2, x = - 4

Plug in

x = 2 : 4

Plug in

x = - 4 : - 2

The numbers : 2, 4 or - 4, - 2

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