TITLE: Product of two consecutive integers.
QUESTION [7 upvotes]: I have a small algebra problem
If the sum of two consecutive integers is $x$, what would be their product?
I've made equation.$$n+(n+1)=x$$
But, don't understand how to find their sum.

REPLY [5 votes]: You've "made" the equation $n + (n + 1) = x$ but don't understand how to find their sum? I think you mean you don't understand how to find the product $n(n + 1)$.
The equation you've "made" is an important clue. If $n$ is odd, then $n + 1$ is even, otherwise $n$ is even and $n + 1$ is odd. Either way, $x$ is odd. Therefore, $$n = \frac{x - 1}{2}, n + 1 = \frac{x - 1}{2} + 1.$$ If you know how to multiply polynomials, you should be able to take it from here.