Quadratic Equation Solver Gaming Project in C++

Projects Inventory

3 months ago

#include <iostream>
#include <cmath>
#include <stdexcept>

// Function to calculate the roots of the quadratic equation
void solveQuadraticEquation(double a, double b, double c) {
    // Check if the equation is actually quadratic
    if (a == 0) {
        throw std::invalid_argument("Coefficient 'a' cannot be zero for a quadratic equation.");
    }

    // Calculate the discriminant
    double discriminant = b * b - 4 * a * c;

    std::cout << "Solving equation: " << a << "x^2 + " << b << "x + " << c << " = 0\n";

    // Check the discriminant value
    if (discriminant > 0) {
        // Two distinct real roots
        double root1 = (-b + std::sqrt(discriminant)) / (2 * a);
        double root2 = (-b - std::sqrt(discriminant)) / (2 * a);
        std::cout << "Roots are real and different.\n";
        std::cout << "Root 1: " << root1 << "\n";
        std::cout << "Root 2: " << root2 << "\n";
    } else if (discriminant == 0) {
        // One real root (repeated)
        double root = -b / (2 * a);
        std::cout << "Roots are real and the same.\n";
        std::cout << "Root: " << root << "\n";
    } else {
        // Complex roots
        double realPart = -b / (2 * a);
        double imaginaryPart = std::sqrt(-discriminant) / (2 * a);
        std::cout << "Roots are complex and different.\n";
        std::cout << "Root 1: " << realPart << " + " << imaginaryPart << "i\n";
        std::cout << "Root 2: " << realPart << " - " << imaginaryPart << "i\n";
    }
}

int main() {
    // Example coefficients for the quadratic equation
    double a = 1.0, b = -3.0, c = 2.0;

    try {
        solveQuadraticEquation(a, b, c);
    } catch (const std::exception& e) {
        std::cerr << "Error: " << e.what() << "\n";
    }

    return 0;
}

#include <iostream>

#include <cmath>

#include <stdexcept>

// Function to calculate the roots of the quadratic equation

void solveQuadraticEquation(double a, double b, double c) {

// Check if the equation is actually quadratic

if (a == 0) {

throw std::invalid_argument("Coefficient 'a' cannot be zero for a quadratic equation.");

}

// Calculate the discriminant

double discriminant = b * b - 4 * a * c;

std::cout << "Solving equation: " << a << "x^2 + " << b << "x + " << c << " = 0\n";

// Check the discriminant value

if (discriminant > 0) {

// Two distinct real roots

double root1 = (-b + std::sqrt(discriminant)) / (2 * a);

double root2 = (-b - std::sqrt(discriminant)) / (2 * a);

std::cout << "Roots are real and different.\n";

std::cout << "Root 1: " << root1 << "\n";

std::cout << "Root 2: " << root2 << "\n";

} else if (discriminant == 0) {

// One real root (repeated)

double root = -b / (2 * a);

std::cout << "Roots are real and the same.\n";

std::cout << "Root: " << root << "\n";

} else {

// Complex roots

double realPart = -b / (2 * a);

double imaginaryPart = std::sqrt(-discriminant) / (2 * a);

std::cout << "Roots are complex and different.\n";

std::cout << "Root 1: " << realPart << " + " << imaginaryPart << "i\n";

std::cout << "Root 2: " << realPart << " - " << imaginaryPart << "i\n";

}

int main() {

// Example coefficients for the quadratic equation

double a = 1.0, b = -3.0, c = 2.0;

try {

solveQuadraticEquation(a, b, c);

} catch (const std::exception& e) {

std::cerr << "Error: " << e.what() << "\n";

}

return 0;

}

Explanation

solveQuadraticEquation Function:
- Parameters: Takes three coefficients < code>a
  
  Advertisement
  
  , b, and c representing the quadratic equation $ax^2 + bx + c = 0$ .
- Discriminant Calculation: Computes the discriminant using the formula
  
  Advertisement
  
  $b^{2} - 4 a c$ . The discriminant determines the nature of the roots:
  - If the discriminant is positive, the equation has two distinct real roots.
  - If the discriminant is zero, the equation has one repeated real root.
  - If the discriminant is negative, the equation has two complex conjugate roots.
- Root Calculation: Based on the discriminant, the program calculates and prints the roots of the equation.
main Function:
- Provides example coefficients for the quadratic equation.
- Calls solveQuadraticEquation to solve the equation and display the roots.
- Handles any exceptions thrown by the function (e.g., when the coefficient a is zero, which would make it a linear equation instead).

Explanation

Related Posts: