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Popular >

Determine three consecutive odd negative integers, if the sum of their squares is 155.

Solución

Determine three consecutive odd negative integers, if the sum of their squares is 155.

Solución

The numbers : - 9, - 7, - 5

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x^{2} + (x + 2)^{2} + (x + 4)^{2} = 155

Resolver

x^{2} + (x + 2)^{2} + (x + 4)^{2} = 155 : x = 5, x = - 9

Select negative solutions:

- 9

x + 2 = - 9 + 2 = - 7

x + 4 = - 9 + 4 = - 5

The numbers : - 9, - 7, - 5

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