What multiplies to make 3 and adds to make 2?

There are no real numbers that will answer this question, just imaginary numbers.

The imaginary numbers are 1+sqrt(-2) and 1-sqrt(-2), which we normally write as 1+2i and 1-2i where i stands for the sort of (-1)

(1+2i) + (1-2i) =2

(1+2i) * (1-2i) = 3 (note * stands for multiply)