Chapter 5, Problem 64PS

Write a program to compute the real roots of a quadratic equation $\left({\text{ax}}^2+\text{bx}+\text{c}=0\right)\text{.}$ The roots can be calculated using the following formulas:

$\text{x}1=\frac{-\text{b}+\sqrt{{\text{b}}^2-4\text{ac}}}{2\text{a}}\text{ and x2}=\frac{-\text{b}-\sqrt{{\text{b}}^2-4\text{ac}}}{2\text{a}}$

Your program is to prompt the user to enter the constants (a, b, c). It is then to display the roots based on the following rules:

a. If both a and b are zero, there is no solution.

b. If a is zero, there is only one root $\left(-\text{c / b}\right)$ .

c. If the discriminate $\left({\text{b}}^2-\text{4ac}\right)$ is negative, there are no real roots.

d. For all other combinations, there are two roots.

Test your program with the data in Table 5-13.