The rays y=x and y=2x (x ≥ 0) enclose two arcs of the parabola:
y= x² + Ax+B

The two arcs are projected onto the x axis.

Let R and L denote the respective lengths of the right projection and the left projection.

Find R-L

(In reply to solution (if I got the algebra right) by Charlie)

My solution is the same, your algebra looks fine.  This problem can be generalized:

Posted by Jer on 2016-05-24 07:25:27