Question

the product of two consecutive positive even number is 1520. what are the numbers? (enter solutions from smallest to largest)

Answer 1

38 and 40

Answer 2

\[n\ (n+2) = 1520\]
\[n^2 + 2n -1520 = 0\]
Now you could try to factor or use the quadratic equation :)
but for this it's much better to guess. Note that:
\[\sqrt{1520} = 38.98717737923585\]
So 38 and 40 seem really good to try, and easily verified.