clear
%   x0 = input('enter the value of x0 = ');
%    x1 = input('enter the value of x1 = ');
%    tolerance=input('inter the tolerance =  ');
x0 = 0;
x1 = 3;
tolerance= 1.0e-17;

%    f =@(x) sin(2*pi*x)+ exp(1.2*x) + x - 2.5;
     f =@(x) 2-(x-2)^2;
result = zeros(20,3);
   for i=2:10
            x2= x1 - (f(x1)* (x1-x0)/(f(x1)-f(x0))) ;

            c = f(x2);
            [i x2 c]
            
            result(i,1) = i;
            result(i,2) = x2;
            result(i,3) = c;

            absolute_c= abs(c);
            if  absolute_c < tolerance
                 break 
            end

            if f(x0)*c <0
                          x1=x2;
                  continue
            else
                x0=x2;
                continue
            end
     end