Newton Raphson

1.

#include<stdio.h>
#include<math.h>
#define E 0.001
#define f(x) x*x-4*x-10
#define g(x) 2*x-4
int main(){
    float x0,x1,x2,f0,g0,root;
    int i=1;
    printf("Using Newton Raphson Method to find root of the equation (x*x)-4*x-10\n");
    printf("\n Enter the value of x0");

    scanf("%f",&x0);
    printf("step\tx0\tx1\tf0\tg0\n");
    b:f0=f(x0);
    g0=g(x0);
    x1=x0-(f0/g0);
    printf("%d\t %4f\t %4f\t %4f  \t%4f \n",i,x0,x1,f0,g0);
    i++;
    if(fabs((x1-x0)/x1)<=E){
        root=x1;
        printf("The root is %4f",root);
        goto c;}
        else {
            x0=x1;
            goto b ;
        }
        c:
            getch();
    }



2.


#include<stdio.h>
#include<math.h>
#define E 0.0001
#define f(x) sin(x)-1+x*x
#define g(x) cos(x)+2*x
int main(){
    float x0,x1,x2,f0,g0,root;
    int i=1;
    printf("Using Newton Raphson Method to find root of the equation (x*x)-4*x-10\n");
    printf("\n Enter the value of x0 :");

    scanf("%f",&x0);
    printf("Step \t x0\t\t x1\t\t f0\t\tg0\n");
    b:f0=f(x0);
    g0=g(x0);
    x1=x0-(f0/g0);
    printf("%d\t %4f\t %4f\t %4f  \t%4f \n",i,x0,x1,f0,g0);
    i++;
    if(fabs((x1-x0)/x1)<=E){
        root=x1;
        printf("The root is %4f",root);
        goto c;}
        else {
            x0=x1;
            goto b ;
        }
        c:
            getch();
    }