Question: Design a class named QuadraticEquation for a quadratic equation ax2+bx+c=0 . The class

contains:

o Private data fields a, b, and c represents three coefficients.

o A constructor with the arguments for a, b, and c.

o Three getter methods for a, b, and c.

o A method named getDiscriminant() that returns the discriminant,

which is b2−4ac.

o The methods named getRoot1() and getRoot2() for returning two roots of the equation

r1= (−b+sqrt(b^2−4*a*c))/(2*a) and r2= (−b−sqrt(b^2−4*a*c))/(2*a)

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

Draw the UML diagram for the class then implement the class. Write a test program that prompts the user to enter values for a, b, and c and display he 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 roots.”

package Ch9; /** * ********************** QuadraticEquations ********************** * * -a: double * -b: double * -c: double * _____________________________________ * * +QuadraticEquations(double: a, double: b, double: c) * +getA(): double * +getB(): double * +getC(): double * +getDiscriminant(): double * +getToot1(): double * +getRoot2(): double * * **************************************************************** * * Created by aarushi on 23/6/21. */ public class Ex10QuadraticEquations { /*Private data fields a , b , and c that represent three coefficients.*/ private double a; private double b; private double c; /*A constructor with the arguments for a , b , and c*/ public Ex10QuadraticEquations(double a, double b, double c){ this.a=a; this.b=b; this.c=c; } /*Three getter methods for a , b , and c .*/ public double getA(){ return a; } public double getB(){ return b; } public double getC(){ return c; } /*A method named getDiscriminant() that returns the discriminant, which is b2−4ac*/ public double getDiscriminant(){ return (Math.pow(b,2)-(4*a*c)); } /*The methods named getRoot1() and getRoot2() for returning two roots of the equation*/ public double getRoot1(){ double discriminant= getDiscriminant(); if(discriminant<0){ return 0; } else if (discriminant==0){ return -b/(2*a); } return (-b+Math.sqrt(discriminant))/(2*a); } public double getRoot2(){ double discriminant= getDiscriminant(); if(discriminant<=0){ return 0; } return (-b-Math.sqrt(discriminant))/(2*a); } }

package Ch9; import java.util.Scanner; /** * Q: Design a class named QuadraticEquation for a quadratic equation ax2+bx+c=0 . The class contains: o Private data fields a , b , and c that represent three coefficients. o A constructor with the arguments for a , b , and c . o Three getter methods for a , b , and c . o A method named getDiscriminant() that returns the discriminant, which is b2−4ac. o The methods named getRoot1() and getRoot2() for returning two roots of the equation r1= −b+b2−4ac2a and r2= −b−b2−4ac2a These methods are useful only if the discriminant is nonnegative. Let these methods return 0 if the discriminant is negative. Draw the UML diagram for the class then 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 roots." * Created by aarushi on 23/6/21. */ public class Ex10QuadraticEquationsTest { public static void main(String[] args){ Scanner sc= new Scanner(System.in); System.out.println("Enter Value of a:"); double a= sc.nextDouble(); System.out.println("Enter Value of b:"); double b= sc.nextDouble(); System.out.println("Enter Value of c:"); double c= sc.nextDouble(); Ex10QuadraticEquations equation= new Ex10QuadraticEquations(a, b, c); double discriminant= equation.getDiscriminant(); if(discriminant>0){ System.out.printf("Root 1: %.3f", equation.getRoot1()); System.out.printf("\nRoot 2: %.3f", equation.getRoot2()); } else if(discriminant==0) { System.out.printf("The equation has one root: %.3f", equation.getRoot1()); } else { System.out.println("The equation has no roots"); } } } /* Sample Runs: Enter Value of a: 1 Enter Value of b: 3 Enter Value of c: 1 Root 1: -0.382 Root 2: -2.618 _______ Enter Value of a: 1 Enter Value of b: 2 Enter Value of c: 1 The equation has one root: -1.000 _______ Enter Value of a: 1 Enter Value of b: 2 Enter Value of c: 3 The equation has no roots */