Solving Degenerate Quadratics

Hi

I am hoping for some help. I am reading and learning from an online programming text for scheme How to Design Programs: An Introduction to Computing and Programming

However I am at a section an example where I need to solve for three coefficients a,b,c and test whether an equation is degenerate. I have no idea I haven't done math for 15 years, coefficients & quadratics ring a bell but I can't remember it at all, and less about degenerates.

The top google searches aren't as they seem to assume we now what they are. Is there a good explanation or text online I can read.

This is the question I am reading for reference in case I may misinterpret it.

Quote:

Develop what-kind. The function consumes the coefficients a, b, and c of a quadratic equation. It then determines whether the equation is degenerate and, if not, how many solutions the equation has. The function produces one of four symbols: 'degenerate, 'two, 'one, or 'none.

PS I assume what I am asking is basic algebra and thats why I have posted to here