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Popular >

The difference of two numbers is 16 and the sum of their squares is 130. WHat are the two numbers?

Solution

The difference of two numbers is 16 and the sum of their squares is 130. WHat are the two numbers?

Solution

The numbers : 9, - 7 or 7, - 9

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 16

x^{2} + y^{2} = 130

Solve the system of equations:

x - y = 16, x^{2} + y^{2} = 130 : (x = 9, x = 7, y = - 7 y = - 9)

The numbers : 9, - 7 or 7, - 9

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