Programming in Java CSCI 1601 Name: Date: Assignment 3 Instructions: Submit an electronic copy of the assignment to the Dropbox (ex: Filename java and FilenameTest,java) and hand out a hard copy of the source code. DUE DATE: END OF CLASS Design a class named QuadraticEquation for a quadratic equation ax2 + bx + x = 0. The class contains: Private data fields a, b, and c that represents three coefficients. A constructor for the arguments for a, b, and c. Accessors (gets) and Mutators (sets) methods for a, b, and c. A method named getDiscriminant0 that returns the discriminant, which is: b2-4ac The methods named getRootl0 and getRoot20 for returning two roots of the equation 2a These methods are useful only if the discriminant is nonnegative. Let these methods return 0 if the discriminant is negative. Also, have a method to display the results based on the discriminant, if the discriminant is positive, display the two roots. If the diseriminant is 0, display the one root. Otherwise, display "The equation has no roots. First, inplement the class. Second, write a test program that initializes all coefficients,display the results. is. Finally, prompts the user to enter new values for a, b, and c. Finally, displays the results, once again