1MA0 Higher June 2016 Paper 2 Q7
7 The equation \[x^3 - 5x = 34\] has a solution between 3 and 4
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working. (4)
| Working | Answer | Mark | Notes | ||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 3.8 | 4 | B2 for a trial \(3.7 \leqslant x \leqslant 3.8\) evaluated (B1 for a trial \(3 \leqslant x \leqslant 4\) evaluated) B1 for a different trial \(3.75 \leqslant x \lt 3.8\) evaluated B1 (dep on at least one previous B1) for 3.8 Accept trials correct to the nearest whole number (rounded or truncated) if the value of \(x\) is to 1 dp but correct to 1dp (rounded or truncated) if the value of \(x\) is to 2 dp. NB: no working scores no marks even if the answer is correct. |