(Algebra: quadratic equations) Design a class named QuadraticEquation for aquadratic equat...

(Algebra: quadratic equations) Design a class named QuadraticEquation for a

quadratic equation ax2 + bx + x = 0. The class contains:

■ Data fields a , b , and c that represent three coefficients.

■ A constructor for the arguments for a , b , and c.

■ Three get functions for a , b , and c.

■ A function named getDiscriminant() that returns the discriminant, which is b2 - 4ac.

■ The functions named getRoot1() and getRoot2() for returning two roots of the equation:

These functions are useful only if the discriminant is nonnegative. Let these func­tions return 0 if the discriminant is negative.

Draw the UML diagram for the class. Implement the class. Write a test 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 the two roots. If the discriminant is 0, display the one root. Otherwise, display “The equation has no real roots”.