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An integer is two more than another integer. Twice the larger integer is one more than the square of the smaller integer. Find the two integers.

Solución

An integer is two more than another integer. Twice the larger integer is one more than the square of the smaller integer. Find the two integers.

Solución

The numbers : 5, 3 or 1, - 1

Pasos de solución

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 + y

2 x = 1 + y^{2}

Resolver el sistema de ecuaciones:

x = 2 + y, 2 x = 1 + y^{2} : (x = 5, x = 1, y = 3 y = - 1)

The numbers : 5, 3 or 1, - 1

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