iterative methods

iteration is used when an equation is too hard to solve
for example, you will be given an equation, and that the answer lies between two numbers, and to find a solution to a certain degree of accuracy.
1. so try in order the values of x to 1dp, that lie between your given numbers. when you test a number with a sign change ( eg 1.5 is 0.125, and then 1.6 is -0.296 ), that means the solution lies between those two solutions.
  1. now try values to two decimal places, and again look for a sign change, which is where the solution lies. then round to the closest 1dp.
another method is to use an iteration machine. rearrange the equation to give x, it will be arranged to give (for example) xn+1 = ∛1+3xn. start with one of the values given, sub into the x value, and then input the answer into the equation and co tinue until you have an answer exact enough

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	Created by lizabeth rawson over 6 years ago