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شائع Word Problems >

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

الحلّ

. 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 ?

الحلّ

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

خطوات الحلّ

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

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

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

حلّ:

x = 15, x = - 17

x = 15

استبدل:

17

x = - 17

استبدل:

- 15

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

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