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 two consecutive even integers is 20. Find the integers.

Solution

the sum of the squares of two consecutive even integers is 20. Find the integers.

Solution

The numbers : 2, 4 or - 4, - 2

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} + (x + 2)^{2} = 20

Solve

x^{2} + (x + 2)^{2} = 20 : x = 2, x = - 4

Plug in

x = 2 : 4

Plug in

x = - 4 : - 2

The numbers : 2, 4 or - 4, - 2

Popular Examples

One number is three less than two times another number. If the sum of the numbers is 15, find the numbers.The square of a negative number is ten more than three times the negative number. Find the number.The sum of two consecutive odd integers is at least 36 . Find the integers.Five times the sum of a number and seven is thirty. Find the number.The sum of three consecutive integers is 54. Find the integers.