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Popular Word Problems >

the sum of the squares of two consecutive even integers is 20. Find the integers.

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 20. F in d t h e in t e g ers .

Solution

The numbers : 2, 4 or - 4, - 2

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 20

Solve

x^{2} + (x + 2)^{2} = 20 : x = 2, x = - 4

Plug in

x = 2 : 4

Plug in

x = - 4 : - 2

The numbers : 2, 4 or - 4, - 2

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