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A-LevelMathematicsQuadratics9709/12 · Feb/Mar 2017 · Q14 Marks

Find the set of values of k for which the equation 2x² + 3kx + k = 0 has distinct real roots.

  1. (a)Find the set of values of k for which the equation 2x² + 3kx + k = 0 has distinct real roots.[4]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2017). The mark or mark type is shown in brackets.

  1. [M1] Attempt b² - 4ac
  2. [A1] Must involve correct inequality. Can be implied by correct answers Allow 9k² - 8k ≥ 0
  3. [A1] 0, 8/9 soi
  4. [A1] k<0, k> 8/9 (or 0.889) Allow (-∞, 0), (8/9, ∞)

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About this question

Topic
Quadratics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Feb/Mar 2017 Paper 1 Variant 2, question 1.

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