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This worksheet is about finding approximate solutions to more complex functions using trial and improvement.
| Example |
Use trial and improvement to find an approximate solution to: x3 + 5x = 73
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| Solution | x | x3 + 5x | Comment |
| 3 | 33 + 5×3 = 42 | too small | |
| 4 | 43 + 5×4 = 84 | too big | |
| 3.5 | 3.53 + 5×3.5 = 60.375 | too small | |
| 3.7 | 3.73 + 5×3.7 = 69.153 | too small | |
| 3.8 | 3.83 + 5×3.8 = 73.872 | too big | |
| 3.75 | 3.753 + 5×3.75 = 71.484 | too small | |
The solution is between x = 3.75 and x = 3.8.
So x = 3.8 (to 1 d.p.)
