# Homework Help: Newton's Method (INTERSECTION POINTS)

1. Nov 17, 2008

### Jharr94

1. The problem statement, all variables and given/known data
Find the x-coordinate of the first point in the region where intersects . Give your answer to 6 significant figures.

2. Relevant equations
x_1=x_0- (f(x)/f'(x))

3. 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?

2. Nov 17, 2008

### 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.

3. Nov 17, 2008

### HallsofIvy

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

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