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The sum of two numbers is twice their difference. The sum of the squares of the two numbers is 6250.What are the to numbers.

Solución

The sum of two numbers is twice their difference. The sum of the squares of the two numbers is 6250.What are the to numbers.

Solución

The numbers : 75, 25 or - 75, - 25

Pasos de solución

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 2 (x - y)

x^{2} + y^{2} = 6250

Resolver el sistema de ecuaciones:

x + y = 2 (x - y), x^{2} + y^{2} = 6250 : (x = 75, x = - 75, y = 25 y = - 25)

The numbers : 75, 25 or - 75, - 25

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