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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.

Solution

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.

Solution

The numbers : 5, 3 or 1, - 1

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 + y

2 x = 1 + y^{2}

Solve the system of equations:

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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