Find two consecutive integers whose product is 702

Greetings and Happy Holidays!

Let x represent the smaller integer.

We can create an algebraic equation to solve for the numbers:


Distribute the parenthesis:


Add -702 to both sides:




Factor the Complex Trinomial:






Set Factors to Equal 0: 




or





The Answer Is:


The two consecutive numbers can be either: 26,27 or -27,-26

I hope this helped!
-Benjamin

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