## Algorithm

1. Input Coefficients:

• Read the values of coefficients , , and from the user.
2. Calculate Discriminant:

• Calculate the discriminant using the formula: discriminant=�2−4��.
3. Check Discriminant:

• If the discriminant is greater than 0, go to step 4.
• If the discriminant is equal to 0, go to step 5.
• If the discriminant is less than 0, go to step 6.
4. Output Roots:

• End the algorithm.

## Code Examples

### #1 Code Example- C++ Programing Roots of a Quadratic Equation

Code - C++ Programming

#include <iostream>
#include <cmath>
using namespace std;

int main() {

float a, b, c, x1, x2, discriminant, realPart, imaginaryPart;
cout << "Enter coefficients 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 << "Roots are real and same." << endl;
x1 = -b/(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;
}
Copy The Code &

Output

cmd
Enter coefficients a, b and c: 4
5
1
Roots are real and different.
x1 = -0.25
x2 = -1