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Populaire Word Problems >

The sum of the squares of two consecutive positive integers is 85 . Find the numbers.

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 p os i t i v e in t e g ers i s 85 . F in d t h e n u mb ers .

Solution

The numbers : 6, 7

étapes des solutions

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 85

Résoudre

x^{2} + (x + 1)^{2} = 85 : x = 6, x = - 7

Select positive solutions:

6

x + 1 = 6 + 1 = 7

The numbers : 6, 7

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