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O-LevelAdditional MathematicsQuadratic functions4037/12 · May/June 2025 · Q24 Marks

Solve the equation x³ + 1 = 6/x³.

  1. Solve the equation x³ + 1 = 6/x³.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [B1] x³ + x⁻³ - 6 (=0) oe soi (For multiplying through by x³ Allow if substitution is used)
  2. [M1] x³ + 3x⁻³ - 2 (=0) oe (Allow if substitution is used)
  3. [A1] x = -27 (A0 if rejects x=-27)
  4. [A1] x = 8

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About this question

Topic
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2025 Paper 1 Variant 2, question 2.

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