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 2 numbers is 6. the sum of their squares is 28. find the numbers

Solution

t h e s u m o f 2 n u mb ers i s 6. t h e s u m o f t h e i r s q u a res i s 28. f in d t h e n u mb ers

Solution

The numbers : 3 - 5, 3 + 5

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 6

x^{2} + y^{2} = 28

Solve the system of equations:

x + y = 6, x^{2} + y^{2} = 28 : (x = 3 - 5, x = 3 + 5, y = 3 + 5 y = 3 - 5)

Discard duplicated solutions

The numbers : 3 - 5, 3 + 5

Popular Examples

Betty puts 500.00 into an account to use for school expenses. The account earns 11% interest, compounded continuously. How much will be in the account after 6 years?The sum of twice a number and 1 is 11.Richard opened a savings account and deposited 600.00. The account earns 1% interest, compounded annually. If he wants to use the money to buy a new bicycle in 3 years, how much will he be able to spend on the bike?Find two consecutive whole numbers that lies sqrt(73) between.A single die is rolled twice. Find the probability of rolling an odd number the first time and a number greater than 1 the second time.