1MA0 Foundation June 2013 Paper 2 Q24
24 The equation
\(x^3 + 2x = 110\)
has a solution between 4 and 5
Use a trial and improvement method to find this solution.
Give your answer correct to one decimal place.
You must show ALL your working. (4)
| Working | Answer | Mark | Notes | ||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 4.7 | 4 | B2 for a trial \(4.6 \leqslant x \leqslant 4.7\) evaluated correctly (B1 for a trial evaluated correctly for \(4 \leqslant x \leqslant 5\)) B1 for a different trial evaluated correctly for \(4.65 \leqslant x \lt 4.7\) B1 (dep on at least one previous B1) for 4.7 [Note: Trials should be evaluated to at least accuracy shown in table, truncated or rounded] [NB No working scores 0 marks] |