Sorting equations by their roots

The discriminant sorts quadratic equations into three kinds without solving them. You will write the sorter and use it.

Your tasks.

1. In nature, return "two distinct", "equal" or "none", from $D = b^2 - 4ac$.
2. Set none_count to the number of equations in the list that have no real roots.
3. Set real_k to the whole numbers $k$ from $1$ to $50$ for which $x^2 + kx + 36 = 0$ has real roots, in order.