function [x,iter]=hw7extra(int,tol)

% bisection method for x^2-2=0
% int is the initial interval entered as [a,b]
% tol is the tolerance, basically tells you to stop when the interval is shorter than tol

iter=0;
while (int(2)-int(1)>tol)
    iter=iter+1;
    x=(int(2)-int(1))/2+int(1);
    
    if (int(1)^2-2>0 & int(2)^2-2<0)
        if (x^2-2>0)
            int=[x,int(2)];
        else
            int=[int(1),x];
        end
    elseif (int(1)^2-2<0 & int(2)^2-2>0)
        if (x^2-2>0)
            int=[int(1),x];
        else
            int=[x,int(2)];
        end
    else
        disp('bad initial interval')
        break
    end
end