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The difference between the squares of two consecutive integers is 29

Solution

The difference between the squares of two consecutive integers is 29

Solution

The numbers : - 15, - 14

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} - (x + 1)^{2} = 29

Solve

x^{2} - (x + 1)^{2} = 29 : x = - 15

x + 1 = - 15 + 1 = - 14

The numbers : - 15, - 14

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