Using newtons method, solve the equation, x^3-4x-12=0 accuratey to six decimal places?
Im having extreme troubles with this can anyone please help
Newton's method uses the recursion:
to find a root of f(x)=0, so here we put:
Then:
Now we need a guess to get us started, we observe that is negative at and positive at (and nearer to zero at ) so we take as our starting value.
You will find this converges to the required accuracy after about 3 itterations.
RonL