In a quadratic

The discriminant is equal to the first derivative.

Does that have any special meaning (geometrically or otherwise), or is it just an algebraic coincidence?

(+/-)sqrt(B^2 - 4AC) = 2AX + B

in the above, X is the value which makes the quadratic function zero, whereas in the first derivative, x is a function of y.

also, the discriminant is the expression under the root sign,
d=b^2-4ac