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Popular Word Problems >

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

Solution

De t er min e t h ree co n sec u t i v e o dd n e g a t i v e in t e g ers, i f t h e s u m o f t h e i r s q u a res i s 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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