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

Solution

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

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

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