Troll Quadratic
Algebra
Level
5
How many ordered pairs of solutions \( (a,b) \) are there such that:
- \( a\) is a root of the quadratic equation \( y = x^2 + ax + b \)
- \( b\) is a root of the quadratic equation \( y = x^2 + ax + b \)
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).
by
Daniel Liu