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O-LevelAdditional MathematicsEquations, inequalities and graphs4037/12 · Oct/Nov 2025 · Q65 Marks

Solve the equation |2x²+x-10|= 5.

  1. Solve the equation |2x²+x-10|= 5.[5]

Mark scheme

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

  1. [5] M1 2x²+x-10=5 leading to 2x² +x−15=0 with a valid attempt to solve to obtain 2 values for x
  2. A1 For both x=-5/2, 3
  3. M1 Must be a correct 3-term quadratic equated to zero
  4. Dep M1 for a valid method of solution to obtain 2 values for x. Mark final answer for this equation, A0 if negative root is rejected Denominator of final answer must be positive
  5. A1 For both x=(-1±√41)/4 oe

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About this question

Topic
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2025 Paper 1 Variant 2, question 6.

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