Program Specifications

Let us consider roots that are real numbers, only. Then if:

• b² −4ac < 0 there are no real roots.
• b² −4ac = 0 there is one real root.
• b² −4ac > 0 there are two real roots.

Problems Specification:

Write a program that repeatedly asks the user for the coefficients a, b, and c (which will be double precision) and for each set writes out

• Both roots if there are two
• The single root if there is one
• A message if there are no roots.

Furthermore, write out an error message if a = 0 but continue processing.

If the user enters non-numeric data, the program will crash. (C can be more user-friendly than this, but the logic gets messy.)