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O-LevelAdditional MathematicsIndices and surds4037/22 · Oct/Nov 2019 · Q116 Marks

Do not use a calculator in this question. Solve the quadratic equation (√5-3)x² + 3x + (√5 +3) = 0, giving your answers in the form a+b√5, where a and b are constants.

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. B1 (√5-3)(√5+3)=-4 Seen anywhere
  2. M1 Attempt formula
  3. A1 (-3±5) / (2(√5-3))
  4. M1 Multiply by their (√5+3) Attempt must be seen with a further line of working. oe
  5. A1 x = √5+3 oe Mark final answer
  6. A1 x = -1(√5+3)/4 oe Mark final answer

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About this question

Topic
Indices and surds, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2019 Paper 2 Variant 2, question 11.

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