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פּוֹפּוּלָרִי >

Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.

פתרון

Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.

פתרון

The numbers : - \frac{1}{2}, \frac{1}{2}

צעדי פתרון

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

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

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

פתור את:

x = - \frac{1}{2}

x + 1 = - \frac{1}{2} + 1 = \frac{1}{2}

The numbers : - \frac{1}{2}, \frac{1}{2}

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