Newton's Method (INTERSECTION POINTS)

[Jharr94]

Homework Statement

Find the x-coordinate of the first point in the region where intersects . Give your answer to 6 significant figures.

Homework Equations

x_1=x_0- (f(x)/f'(x))

The Attempt at a Solution

I equated the two equations and got:
0=tanx-5x

I also looked at the graph and got that the intersection point is around 1.5

I used Newton's method but the only thing I keep getting is 0, can anyone help me to find the OTHER intersection point?

 

[gabbagabbahey]

I assume that since you know the point of intersection is around 1.5, that is the value you are using as your guess x_0 in Newton's method?If so, you will have to show me your work for me to be able to see where you are going wrong.

 

[HallsofIvy]

First, x= 0 is obviously a solution of tan(x)= 5x. Using a starting point close enough to a positive solution should work.