Chapter 6, Problem 12P

Write a program in a script file that determines the real roots of a quadratic equation $a{x}^2+bx+c=0$ . Name the file quadroots. When the file runs, it asks the user to enter the values of the constants a, b, and c. To calculate the roots of the equation the program calculates the discriminant D, given by:

$D=b^2-4ac$

If D> 0, the program displays message “The equation has two roots,” and the roots are displayed in the next line.

If D = 0, the program displays message “The equation has one root,” and the root is displayed in the next line.

If D< 0, the program displays message “The equation has no real roots.”

Run the script file in the Command Window three times to obtain solutions to the following three equations:

(a) $3x^2+6x+3=0$ (b) $-3x^2+4x-6=0$ (c) $-3x^2+7x+5=0$