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Popular Word Problems >

The sum of the squares of two consecutive even integers is 340:Find the two numbers.

Solution

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 340 : F in d t h e tw o n u mb ers .

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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