I know how this works, I know what it does and what the goal of it is but I don't understand what this homework problem wants me to do and why I don't get the correct answer.
I am supposed to used newton's method with the specified initial approximation x1 to find x3, the third appromizmation to the root of the given equation
$x^5-x-1=0$, $x_1=1$ so what is this telling me to do? I approximated with $1$ and then $.75$ and then $.5$ and then $.25$ but it didn't help me at all. Do I increase values of $x$? Am I doing something wrong? Am I doing some math wrong? Is the formula not going to work?