Transcript 05 - Trial and Improvement - Lesson Slides

Too little
Too much
LO: To use a systematic method to solve an equation to a given degree of accuracy
MUST: be able to round numbers to a given number of decimal places.
SHOULD: be able to apply the trial and improvement process.
COULD: be able to justify your solution to an examination question.
(a) Write these numbers correct to 1 decimal place:
4.613
2.157
(b) Work out the value of
i) x = 1
x2 - 3x
ii) x = 2
1.498
when
Show that the equation x3 – 2x = 15 as a solution between 2 and 3
Use a trial and improvement method to find the solution to 1 d.p.
Q1.
x3 - 5x = 8 has a solution between 2 and 3. Find this
solution correct to 1 decimal place
Q2.
x3 - x = 90 has a solution between 4 and 5. Find this
solution correct to 1 decimal place
Q3.
x3 = 56 has a solution between 3 and 4 Find this
solution correct to 1 decimal place
Exam questions...
Q1. x3 + 5x = 67 has a solution between 3 and 4. Find this
solution correct to 1 decimal places
Q2. Use trial and improvement to find a solution, to 1 decimal
place, of the equation x³ + x = 100. Show all your
trials in the table
LO: To use a systematic method to solve an equation to a given degree of accuracy
MUST: be able to round numbers to a given number of decimal places.
SHOULD: be able to apply the trial and improvement process.
COULD: be able to justify your solution to an examination question.