en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

The sum of the two squares of two consecutive integers is 25. Find the two integers.

Solution

T h e s u m o f t h e tw o s q u a res o f tw o co n sec u t i v e in t e g ers i s 25. F in d t h e tw o in t e g ers .

Solution

The numbers : 3, 4 or - 4, - 3

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 25

Solve

x^{2} + (x + 1)^{2} = 25 : x = 3, x = - 4

Plug in

x = 3 : 4

Plug in

x = - 4 : - 3

The numbers : 3, 4 or - 4, - 3

Popular Examples

four less than a number is nine The diameter of a circle is 10 m. Find its circumference in terms of pi.One-fourth equals the quotient of a number and 12. Find the number.Tim has 2 apples John has 3 apples how much do they have combines he sum of two numbers is 21. Three times the larger is equal to four times the smaller.Find them.