C++ Example - Solving the Roots of a Quadratic Equation
A quadratic equation ax² (where a ≠ 0), a is the coefficient of the quadratic term, bx is the linear term, b is the coefficient of the linear term; c is the constant term.
Discriminant of the Roots
Example
#include <iostream>
#include <cmath>
using namespace std;
int main() {
float a, b, c, x1, x2, discriminant, realPart, imaginaryPart;
cout << "Enter a, b, and c: ";
cin >> a >> b >> c;
discriminant = b*b - 4*a*c;
if (discriminant > 0) {
x1 = (-b + sqrt(discriminant)) / (2*a);
x2 = (-b - sqrt(discriminant)) / (2*a);
cout << "Roots are real and different." << endl;
cout << "x1 = " << x1 << endl;
cout << "x2 = " << x2 << endl;
}
else if (discriminant == 0) {
cout << "Real roots are the same:" << endl;
x1 = (-b + sqrt(discriminant)) / (2*a);
cout << "x1 = x2 = " << x1 << endl;
}
else {
realPart = -b/(2*a);
imaginaryPart =sqrt(-discriminant)/(2*a);
cout << "Roots are complex and different:" << endl;
cout << "x1 = " << realPart << "+" << imaginaryPart << "i" << endl;
cout << "x2 = " << realPart << "-" << imaginaryPart << "i" << endl;
}
return 0;
}
The above program produces the following output:
Enter a, b, and c: 4
5
1
Roots are complex and different:
x1 = -0.25
x2 = -1