Date | May 2019 | Marks available | 3 | Reference code | 19M.2.AHL.TZ2.H_8 |
Level | Additional Higher Level | Paper | Paper 2 | Time zone | Time zone 2 |
Command term | Express | Question number | H_8 | Adapted from | N/A |
Question
Find the roots of the equation , . Give your answers in Cartesian form.
One of the roots satisfies the condition .
Given that , express in the form , where , .
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
METHOD 1
writing (M1)
Note: Award M1 for an attempt to find cube roots of using modulus-argument form.
cube roots (M1)
i.e. A2
Note: Award A2 for all 3 correct, A1 for 2 correct.
Note: Accept and .
METHOD 2
M1
M1
A2
Note: Award A2 for all 3 correct, A1 for 2 correct.
Note: Accept and .
[4 marks]
M1
A1
A1
Note: Accept .
[3 marks]