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Popular >

The sum of te squares of two consecutive even integers is 340. What are these numbers

Solution

The sum of te squares of two consecutive even integers is 340. What are these numbers

Solution

The numbers : 12, 14 or - 14, - 12

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 340

Solve

x^{2} + (x + 2)^{2} = 340 : x = 12, x = - 14

Plug in

x = 12 : 14

Plug in

x = - 14 : - 12

The numbers : 12, 14 or - 14, - 12

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