I'm with Jeff, on the second question. I think that it's poorly-worded.
I would need to see "the" quadratic equation to which the question refers, as there is no general answer to fill in that blank.
EGs:
We have the general quadratic equation Ax^2 + Bx + C = 0
A = 3, B = -2, C = -5/12
The discriminant is a perfect square, and there are two solutions (i.e., two roots, each of multiplicity one).
A = 3, B = -2, C = 1/3
The discriminant is a perfect square, and there is one solution (i.e., a single root of multiplicity two).