Find all sets of integers {x,y,z} such that when any one of these numbers is added to the product of the other two numbers, the result is always 2.
There are only two such triplets
(1,1,1) because 1 + 1*1 = 2
(-2,-2,-2) because -2 + (-2)(-2) = 2
( I sort of cheated, I made myself up a small BASIC computer program)
thanks(:
is there any reason why those are the answers? like is there any pattern in finding them?