SOLUTION: The product of two consecutive negative integers is 89 more than the their sum. Find the larger interger.

Question 249021: The product of two consecutive negative integers is 89 more than the their sum. Find the larger interger.
Answer by College Student(505) (Show Source): You can put this solution on YOUR website!
Let x = negative number
Let x-1 = consecutive negative number

Possible solutions: x=11 and x=-8

Let's see which answer fits our original problem:

<--- answer checks when x=110 and x-1=109.
However, even though it checks, it does not apply to our problem
because we are looking for negative consecutive numbers.

Let's try the other one:

<--- this answer checks and the solution set contains negative numbers!!
Solution set: x= -8, -9

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