Quadratic roots

[Russell Walsmith]

Seqfans,

 From a generalized Fibonacci sequence come sets of coefficients for
ax^2+bx+c, upon which families of matrices are built.

http://ixitol.com/QuadComs.pdf

Generalizing, any n x 3 matrix may said to be a set of n coefficients, and
this leads to some questions. E.g., generate say 10^4 random 100 x 3
matrices; how many of these quadratics will have real roots (i.e.,
non-negative discriminant)? Can probability theory predict the outcome of
these trials?

Also, does anyone see a way to graph xy + x + y = 0 for complex solutions?
It was once suggested that this question may be related to Fermat surfaces

http://www.mcs.csuhayward.edu/~malek/Mathlinks/Surface/Fermatsurfaces.html

(which are rendered by a Mathematicas package?) but I've not made any
progress there. Any insights?

Thanks, Russell
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