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Phổ biến >

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

Lời Giải

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

Lời Giải

The numbers : - 9, - 7, - 5

Các bước giải pháp

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

Giải

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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