I am lost. I need to be able to show the iterations to find the root with given a and b values. Values for a and b should be user inputted. Convergence tolerance of abs(b-a) < 0.0001. fprint used to output the results from each iteration.

clc;
close all;
f= @(x)x.^3 + 12*x.^2 - 100*x -6;
a = -1.0;
b = 0.0;
tol=0.0001;
err=abs(b-a);

if f(a)*f(b)>0
    disp('Enter valid interval')
else
    p = (a + b)/2;
    err = abs(a-b);
    while err >tol
        if f(a)*f(p)<0
            b = p;
        else
            a = p;
        end
        p = (a + b)/2;
        err = abs(b-a);
    end
    fprintf('\n The root is %4.3f ',a);
end

Answer 1

[VBBV]

clc;
close all;
f= @(x) x.^3 + 12*x.^2 - 100*x -6;
%a = -1.0;
%b = 0.0;

a = input('enter value for a:  ');
b = input('enter value for b:  ');

tol=0.0001;
err=abs(b-a);
if f(a)*f(b)>0
	disp('Enter valid interval')
else
	p = (a + b)/2;
	err = abs(a-b);
	while err >tol
		if f(a)*f(p)<0
			b = p;
		else
			a = p;
		end
		p = (a + b)/2;
		err = abs(b-a)
	end
	fprintf('\n The root is %4.3f ',a)
end

[engineer101]

That code still does not show the iteration amounts and the use input.

[engineer101]

fprintf statements should output the results from each iteration

[VBBV]

Place the fprintf inside the while loop

[VBBV]

   %rue
 i = 1;
while err >tol
if f(a)*f(p)<0    
b = p;
else
a = p;
end
p = (a + b)/2;
err = abs(b-a)
fprintf('The %d iteration sol: %f',i, a)
i  = i+1;
end
fprintf('\n The final root is %4.3f ',a)

[engineer101]

thank you so much

[VBBV]

Welcome. Please accept the answer if it worked