2 and 3, what could be worse?

Take two numbers that add to 2 and multiply to 3. What is the sum of the reciprocals of these two numbers? The "truly mind-blowing" way to do this is like how I did it, going through the quadratic formula and such. Let a be one of the numbers, therefore the other number is 2-a. … Continue reading 2 and 3, what could be worse?