The two roots of a quadratic equation, for example 2 + + = 0, can be obtained using the following formula: Two Roots: 1 = − + √ 2−4 2 and 2 = − − √ 2−4 2 2 − 4 is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots. One Root: 1 = − 2 Write a program that prompts the user to enter values for a, b, and c and displays the result based on the discriminant. If the discriminant is positive, display two roots. If the discriminant is 0, display one root. Otherwise, display The equation has no real roots. Here are some sample runs:
Enter a, b, c: 1.0, 3, 1
The roots are -0.381966 and -2.61803
Enter a, b, c: 1, 2.0, 1
The root is -1.0
Enter a, b, c: 1, 2, 3
The equation has no real roots