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The product of two consecutive negative integers is 56. Find the value of the lesser integer

Solution

The product of two consecutive negative integers is 56. Find the value of the lesser integer

Solution

The smallest number : - 8

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 56

Solve

x (x + 1) = 56 : x = 7, x = - 8

Select negative solutions:

- 8

x + 1 = - 8 + 1 = - 7

Select the smallest solution:

- 8

The smallest number : - 8

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