(Algebra: quadratic equations) Design a class named QuadraticEquation for aquadratic equation ax² + bx + x = 0. The class contains:1 The private data fields a, b, and c that represent three coefficients.1 A constructor for the arguments for a, b, and c.1 Three get methods for a, b, and c.A method named getDiscriminant() that returns the discriminant, which isb? – 4ac.The methods named getRoot1() and getRoot2() for returning the two rootsof the equation using these formulas:-b + Vb? – 4ac-b - Vb? – 4acand r22a2aThese methods are useful only if the discriminant is nonnegative. Let these meth-ods return 0 if the discriminant is negative.Draw the UML diagram for the class, and then implement the class. Write a testprogram that prompts the user to enter values for a, b, and c and displays the resultbased on the discriminant. If the discriminant is positive, display the two roots. Ifthe discriminant is 0, display the one root. Otherwise, display "The equation hasno roots." See Exercise 4.1 for sample runs.

UML Diagram of QuadraticEquation:

Answered: (Algebra: quadratic equations) Design a…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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