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Popular >

the difference of two numbers is equal to 6. moreover, the square of the sum of these numbers is 441. find these numbers

Solución

the difference of two numbers is equal to 6. moreover, the square of the sum of these numbers is 441. find these numbers

Solución

The numbers : 441 - \frac{441 - 6}{2}, \frac{441 - 6}{2} or 441 - \frac{441 + 6}{2}, \frac{441 + 6}{2}

Pasos de solución

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

(x - y)^{2} = 6

x + y = 441

Resolver el sistema de ecuaciones:

(x - y)^{2} = 6, x + y = 441 : (x = 441 - \frac{441 - 6}{2}, x = 441 - \frac{441 + 6}{2}, y = \frac{441 - 6}{2} y = \frac{441 + 6}{2})

The numbers : 441 - \frac{441 - 6}{2}, \frac{441 - 6}{2} or 441 - \frac{441 + 6}{2}, \frac{441 + 6}{2}

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