This question concerns finding zeros of the function \begin{equation ... Explain your reasoning. Use Newton's method to approximate the root that lies in the interval \(\ds \left( -\frac{1}{2},0\right ...

Newton's Method is a technique for approximating a root to an equation of the form \(f(x)=0\). What is required is an initial estimate for the root, called \(x_1 ...

It is a specialized form of the Newton method ... to take the square root of 85. You can observe that 9 squared is 81, so the answer is sort of 9, right? But that’s off by 4 (85-81=4).