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Popular >

The sum of two numbers is 10. The sum of the squares of the two numbers is 52. Find the two numbers.

Solución

The sum of two numbers is 10. The sum of the squares of the two numbers is 52. Find the two numbers.

Solución

The numbers : 4, 6

Pasos de solución

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 10

x^{2} + y^{2} = 52

Resolver el sistema de ecuaciones:

x + y = 10, x^{2} + y^{2} = 52 : (x = 4, x = 6, y = 6 y = 4)

Discard duplicated solutions

The numbers : 4, 6

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