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شائع Word Problems >

the sum of the squares of two consecutive integers is 580.

الحلّ

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 in t e g ers i s 580.

الحلّ

The numbers : \frac{- 1 + 1159}{2}, \frac{- 1 + 1159}{2} + 1 or - \frac{1 + 1159}{2}, - \frac{1 + 1159}{2} + 1

خطوات الحلّ

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 580

x^{2} + (x + 1)^{2} = 580

حلّ:

x = \frac{- 1 + 1159}{2}, x = - \frac{1 + 1159}{2}

x = \frac{- 1 + 1159}{2}

استبدل:

\frac{- 1 + 1159}{2} + 1

x = - \frac{1 + 1159}{2}

استبدل:

- \frac{1 + 1159}{2} + 1

The numbers : \frac{- 1 + 1159}{2}, \frac{- 1 + 1159}{2} + 1 or - \frac{1 + 1159}{2}, - \frac{1 + 1159}{2} + 1

أمثلة شائعة

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