 # Trial and Improvement Method

This lesson can be used for revision for the higher Maths GCSE. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations.

How to use the trial and improvement method
Example 1: The equation
x3 + 5x = 67
has a solution between 3 and 4.
Use a trial and improvement method to find this solution.

Example 2: The equation x3 - 5x = 60 has a solution between 4 and 5.
Find this solution and give your answer correct to 1 decimal place.
You must show all your working.

Example 3: The equation
x3 - 6x = 72
has a solution between 4 and 5
Use a trial and improvement method to find this solution.

Example 4: The diagram show a cube and a cuboid.
The volume of the cube is 100 cm3 more that the volume of the cuboid.
(a) Show that x3 - 10x = 100
(b) Use a trail and improvement method to find the value of x.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 