Question

Using C++

For this program you are going to create a class that helps to solve the quadratic equation. The equation has the following form:

ax² + bx + c = 0

The roots of the equation are:

x₁ = -b + sqrt(b² - 4 * a * c) and x₂ = -b - sqrt(b² - 4 * a * c)

The phrase in the parenthesis is called the discriminant. If the value of the discriminant is positive, the equation has two roots. If it is zero, the equation has one root. If it is negative, the equation has no roots.

Create a class named Quadratic that finds the roots of a quadratic equation when the coefficients a, b, and c are given.

Hint: You should create three individual coefficient private members.

Answer 1

CODE:

#include<iostream>
#include<math.h>
using namespace std;
class Quadratic
{
/**************************************
PRIVATE MEMBERS
***************************************/
private:
float a,b,c;
/**************************************
PUBLIC MEMBERS
***************************************/
public:
Quadratic(float a,float b,float c)
{
this->a = a;
this->b = b;
this->c = c;
}
void result()
{
float discriminant = pow(b,2)-4*a*c;
if(discriminant<0)
{
cout<<"No roots.\nDiscriminant is less than 0 so the roots are not real.";
return;
}
else if(discriminant==0)
{
cout<<"Root of the Equation is : "<<(-b/(2*a))<<"\nRoot is single and unique.";
}
else
{
cout<<"Roots of the Equation are : "<<(sqrt(discriminant)-b)/(2*a)<<" and "<<(-sqrt(discriminant)-b)/(2*a);
}
}
};
int main()
{
float a,b,c;
cout<<"Enter the coefficients of x^2, x and the constant respectively : \n";
cin>>a>>b>>c;
Quadratic obj(a,b,c);
obj.result();
return 0;
}