How to Find Roots of Equations Using Iteration Methods and Regula Falsi?

[bc030400412]

2 Questions

 

[radou]

This thread belongs to the homework section (do not repost though, the moderators will move it).

In order to get help, you need to show some efforts.

 

[HallsofIvy]

I've moved this to the homework section.

First question: Find the root of the equation $x^3- 3x+ 1= 0$ by iteration method (six decimal place accuracy).

There are a number of "iteration methods". Are you referring to a particular one? Why don't you select some starting value and show us how you would start the iteration? Also, this equation has 3 real roots. Which one do you mean by "the" root?

Second question: Use the method of Regula Falsi (method of false position) to solve the equation $j(x)= e^x- 3x$. (Only six iterations are required, accuracy to 4 decimal places.)

First, was this exactly what the problem says? I don't see an equation, just a function- unless "j(x)" has some meaning you didn't mention.

What is "Regula Falsi"?