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

x

has a solution between 3 and 4.

Use a trial and improvement method to find this solution.

Give your answer correct to one decimal place.

Example 2: The equation x

Find this solution and give your answer correct to 1 decimal place.

You must show all your working.

Example 3: The equation

x

has a solution between 4 and 5

Use a trial and improvement method to find this solution.

Give your answer correct to one decimal place.

Example 4: The diagram show a cube and a cuboid.

The volume of the cube is 100 cm

(a) Show that x

(b) Use a trail and improvement method to find the value of x.

Give your answer correct to one decimal place.

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