Hi Guest!
I have yet to learn about ellipses, so I'm sorry I can't help you on problems 2a or 2b.
However, I'm going to try question 1.
The quadratic equation is (-b+-sqrt(b^2-4ac))/2a, where the +- is the plus/minus weird symbol.
For the roots to be integers, sqrt(b^2-4ac) must be an integer.
b = -8
c = 3
sqrt(64-12a) = integer
2sqrt(16-3a) = integer
Can you try solving for them?
=^._.^=