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Popular >

the difference of two numbers is-8 and the sum of their squares is 50.Find the numbers

Solution

the difference of two numbers is -8 and the sum of their squares is 50.Find the numbers

Solution

The numbers : - 1, 7 or - 7, 1

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = - 8

x^{2} + y^{2} = 50

Solve the system of equations:

x - y = - 8, x^{2} + y^{2} = 50 : (x = - 1, x = - 7, y = 7 y = 1)

The numbers : - 1, 7 or - 7, 1

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