Newton Raphson Method and Bisection Method

f(x)=114.94253x^2-1.31705x^3-0.00436522x^4-4.72276*10^4

I need to write codes for this function by applying Newton Raphson Method and Bisection Method.

For Bisection Method: a=0 b=48 error=0.0000001

For Newton-Raphson Method: x1=24 error=0.0000001

[James Tursa]

What have you done so far? What specific problems are you having with your code?

Answer 1

[Irem Tas]

% Clearing Screen
clc

% Input Section
y = 114.94253*(x^2)-1.31705*(x^3)-0.00436522*(x^4)-(4.72276*10^4);
a = 0;
b = 48;
e = 0.0000001;

% Finding Functional Value
fa = eval(subs(y,x,a));
fb = eval(subs(y,x,b));

% Implementing Bisection Method
if fa*fb > 0 
    disp('Given initial values do not bracket the root.');
else
    c = (a+b)/2;
    fc = eval(subs(y,x,c));
    fprintf('\n\na\t\t\tb\t\t\tc\t\t\tf(c)\n');
    while abs(fc)>e
        fprintf('%f\t%f\t%f\t%f\n',a,b,c,fc);
        if fa*fc< 0
            b =c;
        else
            a =c;
        end
        c = (a+b)/2;
        fc = eval(subs(y,x,c));
    end
    fprintf('\nRoot is: %f\n', c);
end

I tried this code for Bisection Method but I couldnt result.