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11 days ago
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Regula Falsi Method

#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);

fo = f(x0);

f1 = f(x1);

if (fo* f1 > 0) {

    printf("Invalid 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;

}
}
}
}
}
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