用C语言计算一元二次方程的根

在C语言中，计算一元二次方程的根通常涉及到求解一般形式的二次方程 ax² + bx + c = 0。我们可以使用公式法来求解，公式是：

\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]

以下是简单的C程序示例，它包含一个函数`quadratic_solver`用于计算二次方程的两个根：

#include <stdio.h>
#include <math.h>

void quadratic_solver(double a, double b, double c) {
    double discriminant = b * b - 4 * a * c;
    if (discriminant > 0) {
        double root1 = (-b + sqrt(discriminant)) / (2 * a);
        double root2 = (-b - sqrt(discriminant)) / (2 * a);
        printf("Roots are real and distinct: %.2lf and %.2lf\n", root1, root2);
    } else if (discriminant == 0) {
        double root = -b / (2 * a);
        printf("Root is real and repeated: %.2lf\n", root);
    } else {
        double realPart = -b / (2 * a);
        double imaginaryPart = sqrt(-discriminant) / (2 * a);
        printf("Roots are complex conjugates: %.2lf + %.2lfi and %.2lf - %.2lfi\n",
               realPart, imaginaryPart, realPart, imaginaryPart);
    }
}

int main() {
    double a, b, c;
    printf("Enter coefficients a, b, and c for the equation ax² + bx + c = 0: ");
    scanf("%lf %lf %lf", &a, &b, &c);

    quadratic_solver(a, b, c);
    return 0;
}