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The sum of the reciprocals of two consecutive integers is-3/2 Find the two integers.

Solution

The sum of the reciprocals of two consecutive integers is -\frac{3}{2} Find the two integers.

Solution

The numbers : - 2, - 1 or - \frac{1}{3}, \frac{2}{3}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

\frac{1}{x} + \frac{1}{x + 1} = - \frac{3}{2}

Solve

\frac{1}{x} + \frac{1}{x + 1} = - \frac{3}{2} : x = - 2, x = - \frac{1}{3}

Plug in

x = - 2 : - 1

Plug in

x = - \frac{1}{3} : \frac{2}{3}

The numbers : - 2, - 1 or - \frac{1}{3}, \frac{2}{3}

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