Coefficients and Roots Problem
Author: cwl

Parabola with roots r1 and r2

Parabola:  y=x²+bx+c

Find combinations of r1 and r2, and of b and c, so that
the parabolas are the same.  What is the relationship
among these four parameters?

r1 = 0.4 (slider from -5 to 5, step 0.1)
r2 = 2 (slider from -5 to 5, step 0.1)
a: 1.0 * 1.0 y = (1.0 * 1.0 x - r1) * (1.0 * 1.0 x - r2)
b = 1 (slider from -10 to 10, step 0.1)
c = 1 (slider from -25 to 25, step 0.1)
d: 1.0 * 1.0 y = 1.0 * 1.0 x^(2.0) + b * 1.0 * 1.0 x + c