I have a problem understanding as to how does one set the initial value for newton's method to find reciprocal. After doing some analysis, the conclusion is that $0 < x_0 < \frac{2}{a}$
but isn't it a "chicken and egg problem"? We started out to determine $\frac{1}{a}$ and here we are using it to determine the solution... I'm confused.
for the uninitiated, http://www.derekroconnor.net/NA/Notes/RecSqRoot.pdf