1. Trial & Improvement
Friday, 24 May 2019

2. Example
Andrew wants to work out, correct to one decimal place a solution to the equation 2 𝑥 2 =7
He tries by guessing the value of 𝑥 and starts with 𝑥=1.4.
When 𝑥=1.4 he gets the result 3.92
He then tries 𝑥=1.9 and get the result 7.22
By using trial and improvement find the correct solution to one decimal place.

3. x = 1.3 to 1 decimal place Example
Barry is trying to solve the equation 𝑥 2 +𝑥=3 by trial and improvement.
Work out the value of x correct to one decimal place x
𝑥 2 +𝑥
Comment 2 6
Too big 1 2
Too small
1.5
3.75
Too big
1.4
3.36
Too big
1.3
2.99
Too small
1.35
Too big
x = 1.3 to 1 decimal place