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.
      • Screenshot-2023-11-27-000337
      • Screenshot-2023-11-27-000727
  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 & Try With Live Editor

Output

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

Demonstration


C++ Programing Example to Find All Roots of a Quadratic Equation-DevsEnv