Suppose the Line $y=7 x-1$ Is Tangent to the Curve $y=f(x)$ When $x=-8$

Short Answer

Suppose the line $y=7 x-1$ is tangent to the curve $y=f(x)$ when $x=-8$ . If Newton's method is used to locate a root of the equation $f(x)=0$ and the initial approximation is $x_{1}=-8$ , find the second approximation $x_{2}$ .