en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

The sum of the squares of three consecutive odd integers is 363. Find the numbers

Solution

The sum of the squares of three consecutive odd integers is 363. Find the numbers

Solution

No Solution

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} = 363

Solve

x^{2} + (x + 2)^{2} + (x + 4)^{2} = 363 : x = \frac{- 6 + 1065}{3}, x = - \frac{6 + 1065}{3}

Plug in

x = \frac{- 6 + 1065}{3} :

Invalid

Plug in

x = - \frac{6 + 1065}{3} :

Invalid

No Solution

Popular Examples

The difference of three times a number and 16 is at least 18 5 times the sum of a number and 6 is equal to 3 Two cars leave the city at the same and travel in opposite directions. If one car travels at a rate of 40 kph and the other at 42 kph, how long will it take them to be 246 kilometers apart?Fifty-one more than a number is-12 . What is the number?Two train leave towns 777 kilometers apart at the same time and travel toward each other. One train travels 11 kmh slower than the other. If they meet in 3 hours. What is the rate of each train?