The product of two consecutive positive even integers is 168. Find the two integers. (Enter your answers as a comma-separated list.)

Let your integers be x, and x + 2, provided that they are even.

We also know that x > 0, since they are positive.

We know that the products of the two is equal to 168, so when we multiply the two integers, they should equal to 168.

x (x + 2) = 168

Distribute the x to both terms:

x² + 2x = 168

We can subtract 168 from both sides to form a quadratic.

x² + 2x - 168 = 0

We simply factorise the quadratic by finding factors of - 168 that add up to 2.

(x + 14) (x - 12) = 0

Thus, we know that x = - 14, or x = 12.

Since x > 0, we can disregard x = - 14 as a solution and x = 12 is the only solution.

Thus, the two numbers are 12 and 14.