In this worksheet, you must use trial and improvement to solve equations.
Example
Solve a^{2} = 54 giving the answer to 1 decimal place.
Answer
Try a value you think will be close to the answer.
a = | a^{2} = | |
7 | 49 | This is too small. Try a bigger value. |
8 | 64 | This is too big. Try between 7 and 8. |
7.5 | 56.25 | Too big. Try a smaller number. |
7.3 | 53.29 | Too small. |
7.4 | 54.76 | Too big. |
7.35 | 54.02 | Too big. |
The value of a is closer to 7.3 than 7.4
Answer to 1 decimal place is a = 7.3