Roots of Equations!

A root or solution of equation f(x)=0 are the values of x for which the equation holds true.
Methods for finding roots of equations are basic numerical methods. There are 3 ways to find the roots of equations:

Graphical Method is very simple!! The main idea is to make a plot of the function and observe where it crosses the X axis. This method is not very accurate and is difficult when you don't have an idea about the interval where the root is located. 

Bracketing and Open Methods are clasified:

There are some differences between these two fundamental Approaches. In the left side, Closed Methods features; in the right side Open Methods comparison.