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Popular >

the sum of squares of two consecutive even integers is 244. what are the numbers?

Solution

the sum of squares of two consecutive even integers is 244. what are the numbers?

Solution

The numbers : 10, 12 or - 12, - 10

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 244

Solve

x^{2} + (x + 2)^{2} = 244 : x = 10, x = - 12

Plug in

x = 10 : 12

Plug in

x = - 12 : - 10

The numbers : 10, 12 or - 12, - 10

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