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The sum of the squares of two consecutive even integers is 1684

Solution

The sum of the squares of two consecutive even integers is 1684

Solution

The numbers : 28, 30 or - 30, - 28

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 1684

Solve

x^{2} + (x + 2)^{2} = 1684 : x = 28, x = - 30

Plug in

x = 28 : 30

Plug in

x = - 30 : - 28

The numbers : 28, 30 or - 30, - 28

Popular Examples

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