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Popular Word Problems >

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

Solution

T h e s u m o f t h e s q u a res o f tw o p os i t i v e co n sec u t i v e e v e n in t e g ers i s 1060. Wha t a re t h e tw o in t e g ers ?

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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