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Popular >

.The sum of the squares of two positive consecutive odd integers is 514. What are the two integers?

Solution

.The sum of the squares of two positive consecutive odd integers is 514. What are the two integers?

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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