The two roots of a quadratic equation ax^2 + bx + c = 0 can be obtained using the following formula:

r1 = (-b + sqrt(b^2 – 4ac)) / (2a)

and

r2 = (-b – sqrt(b^2 – 4ac)) / (2a)

b^2 – 4ac 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.

How to 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 “.

Note that you can use

Math.pow(x, 0.5) to compute sqrt(x).

Sample Run 1

Enter a, b, c: 1.0 3 1

The equation has two roots -0.381966 and -2.61803

Sample Run 2

Enter a, b, c: 1 2.0 1

The equation has one root -1

Sample Run 3

Enter a, b, c: 1 2 3

The equation has no real roots

Class Name: Exercise03_01