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Popular Word Problems >

.The sum of the squares of two positive consecutive odd integers is 514. 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 o dd in t e g ers i s 514. Wha t a re t h e tw o in t e g ers ?

Solution

The numbers : 15, 17 or - 17, - 15

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 514

Solve

x^{2} + (x + 2)^{2} = 514 : x = 15, x = - 17

Plug in

x = 15 : 17

Plug in

x = - 17 : - 15

The numbers : 15, 17 or - 17, - 15

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