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Popular >

Two consecutive positive numbers are such that the sum of their squares is 113. Find the two numbers

Solución

Two consecutive positive numbers are such that the sum of their squares is 113. Find the two numbers

Solución

The numbers : 7, 8

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 113

Resolver

x^{2} + (x + 1)^{2} = 113 : x = 7, x = - 8

Select positive solutions:

7

x + 1 = 7 + 1 = 8

The numbers : 7, 8

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