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Popular >

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

Solution

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

Solution

The numbers : - 9, - 7, - 5

Solution steps

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

Solve

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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