Complex Roots
Author: cwl

y=ax²+bx+c

Predict, and then explain, the trace of the twocomplex
roots of this quadratic as the parameters vary.

a = 1.4 (slider from -10 to 10, step 0.01)
b = -3.2 (slider from -10 to 10, step 0.01)
c = 3.4 (slider from -10 to 10, step 0.01)
d: 1.0 y = a * 1.0 x^(2.0) + b * 1.0 x + c
A: (-1.0 * b / (2.0 * a), sqrt(-1.0 * b^(2.0) + 4.0 * a * c) / (2.0 * a))
B: (-1.0 * b / (2.0 * a), -1.0 * sqrt(-1.0 * b^(2.0) + 4.0 * a * c) / (2.0 * a))