How many ordered pairs of solutions (a,b) are there such that:
- a is a root of the quadratic equation y=x2+ax+b
- b is a root of the quadratic equation y=x2+ax+b
Warning: Think twice before you answer. If you didn't find any tricky part, then you probably got it wrong and should reconsider.
Source: BOGTRO from AoPS (I think).