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The difference of the squares of two consecutive even integers is 84. Find the integers.

Solution

The difference of the squares of two consecutive even integers is 84. Find the integers.

Solution

The numbers : - 22, - 20

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x^{2} - (x + 2)^{2} = 84

Solve

x^{2} - (x + 2)^{2} = 84 : x = - 22

x + 2 = - 22 + 2 = - 20

The numbers : - 22, - 20

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