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Popular Word Problems >

The sum of the squares of two consecutive even integers is 452. Find the integers

Solución

T h e s u m o f t h e s q u a res o f tw o co n sec u t i v e e v e n in t e g ers i s 452. F in d t h e in t e g ers

Solución

The numbers : 14, 16 or - 16, - 14

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 452

Resolver

x^{2} + (x + 2)^{2} = 452 : x = 14, x = - 16

Sustituir

x = 14 : 16

Sustituir

x = - 16 : - 14

The numbers : 14, 16 or - 16, - 14

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