Untitled

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

float f(float x) {
    return x*x*x - x - 2;
}

int main() {
    float x0, x1, x2, f0, f1, f2, error;
    int i = 1;

    printf("Enter first guess x0: ");
    scanf("%f", &x0);

    printf("Enter second guess x1: ");
    scanf("%f", &x1);

    printf("Enter tolerable error: ");
    scanf("%f", &error);

    f0 = f(x0);
    f1 = f(x1);

    if (f0 * f1 > 0) {
        printf("Incorrect initial guesses.\n");
        return 0;
    }

    do {
        x2 = (x0 * f1 - x1 * f0) / (f1 - f0);

        f2 = f(x2);

        printf("Iteration %d: x = %f\n", i, x2);

        if (fabs(f2) < error)
            break;

        if (f0 * f2 < 0) {
            x1 = x2;
            f1 = f2;
        } else {
            x0 = x2;
            f0 = f2;
        }

        i++;

    } while (1);

    printf("\nApproximate root = %f\n", x2);

    return 0;
}