Question

Bisection Method Problem. Determine the real root of f(x) = 5x^3 - 5x^2 + 6x-2 Using Matlab

(a) plot the function using Matlab from x=0 t0 1 and guess the root

(b) Write a Matlab function to do the Bisection Method. Print the code the answer for an error tolerance of 0.01%

Answer 1

`Hey,

Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

clc
clear all
close all
format long
f=@(x) 5*x.^3-5*x.^2+6*x-2;
fplot(f,[0,1]);
grid on;
e=0.01e-2;
a=0;
b=1;
iter = 0;
  
if f(a)*f(b)>=0

disp('No Root')

else

prev = (a+b)/2;
p=a;
while (abs(f(p))>e)
prev=p;

iter =iter+ 1;

p = (a+b)/2;

if f(p) == 0
p
q=1
break;

end

if f(a)*f(p)<0

b = p;

else

a = p;

end
fprintf('Iteration %d, root=%2.8f\n',iter,p);
if(iter==100)
disp('the required accuracy is not reached in 50 iterations');
end
end

end

Kindly revert for any queries

Thanks.