Lesson: Trial and Improvement Mathematics
In this lesson, we will learn how to estimate the answers to some equations that do not have exact solutions using the method of trial and improvement.
Michael wants to find the points where the functions and are equal. He decides to use trial and improvement and finds that 7.10 is a solution to two decimal places. By sketching the graphs, determine whether he has found all of the solutions.
James is trying to find the solution to the equation . He decides to use trial and improvement and has so far completed the table.
Work out the three missing outputs from his table, giving your answer to two decimal places.
Hence, work out the solution to the equation to two decimal places.
By using a trial and improvement method, find the positive solution of to two decimal places, given that it lies between 31 and 32.