CSC 117 Programming for Scientists and Engineers

Project 3 Due: Tuesday, July 23, 2002 Total points : 25

If a, b, and c are constants, the quadratic formula gives a
solution to the equation ax**2+bx+c=0.  That formula is:

x = (-b (+ or -) sqrt(b**2-4ac))/(2a)

The quantity b**2-4ac is called the discriminant.
Write a program which prompts the user to enter the coeffients of
a quadratic equation and then computes and prints the real solutions.
Your program must deal with all cases, as follows:

If a \= 0 and the discriminant is positive, there are two solutions.
If a \= 0 and the discriminant is zero, there is one solution.
If a \= 0 and the discriminant is negative, there is no solution.
If a = 0 and b \= 0, there is one solution, namely -c/b.
If a = 0, b = 0, and c \= 0, there is no solution.
If a = 0, b = 0, and c = 0, then the equation is a tautology,
that is, every number is a solution.

Use nested IF structures in the most efficient way you can.

Please email the program to the grader by midnight on the due date.