In this video, you are introduced to the method of iteration in order to solve an equation.

To demonstrate this method, the following example is used.

Example:

  1. Find one root of the equation x^3-3x+1=0 by iteration taking the first approximation x_1=1.5 giving the answer to 2 decimal places.
Iteration - Solving equations (1 of 2) | ExamSolutions - youtube Video

How it works:

In this video, you are shown how iteration converges or diverges away from a root by considering the intersection of the graph y=x and y=f(x)

Iteration - See how it works (2 of 2) | ExamSolutions - youtube Video