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O-LevelAdditional MathematicsQuadratic functions4037/12 · Oct/Nov 2015 · Q14 Marks

Find the range of values of k for which the equation kx² + k = 8x - 2xk has 2 real distinct roots.

  1. Find the range of values of k for which the equation kx² + k = 8x - 2xk has 2 real distinct roots.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.

  1. [M1] for attempt to obtain a 3 term quadratic in the form ax² + bx + c = 0,where b contains a term in k and a constant
  2. [DM1] for use of b² – 4ac
  3. [DM1] for attempt to simplify and solve for k
  4. [A1] Al must have correct sign

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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, Oct/Nov 2015 Paper 1 Variant 2, question 1.

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